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Finding the Fourth Proportional to 822.19, 1,134.43 and 490.75

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Solution

The fourth proportional to 822.19, 1,134.43 and 490.75 is: 677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.19 : 1,134.43 = 490.75 : x
  2. Step 2: Convert to fraction form
    822.19/1,134.43 = 490.75/x
  3. Step 3: Cross multiply
    822.19x = 1,134.43 × 490.75
  4. Step 4: Simplify right side
    822.19x = 556,721.52
  5. Step 5: Solve for x
    x = 556,721.52/822.19
  6. Step 6: Final answer
    x = 677.12

Related Problems

Find fourth proportional to 411.10, 567.22 and 245.38
Half scale
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Double scale
Find fourth proportional to 823.19, 1,135.81 and 491.75
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.