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Finding the Fourth Proportional to 975.04, 1,345.35 and 582.19

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Solution

The fourth proportional to 975.04, 1,345.35 and 582.19 is: 803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.04 : 1,345.35 = 582.19 : x
  2. Step 2: Convert to fraction form
    975.04/1,345.35 = 582.19/x
  3. Step 3: Cross multiply
    975.04x = 1,345.35 × 582.19
  4. Step 4: Simplify right side
    975.04x = 783,249.32
  5. Step 5: Solve for x
    x = 783,249.32/975.04
  6. Step 6: Final answer
    x = 803.30

Related Problems

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Half scale
Find fourth proportional to 1,950.08, 2,690.70 and 1,164.38
Double scale
Find fourth proportional to 976.04, 1,346.73 and 583.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.