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Finding the Fourth Proportional to 975.72, 1,346.47 and 533.62

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Solution

The fourth proportional to 975.72, 1,346.47 and 533.62 is: 736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.72 : 1,346.47 = 533.62 : x
  2. Step 2: Convert to fraction form
    975.72/1,346.47 = 533.62/x
  3. Step 3: Cross multiply
    975.72x = 1,346.47 × 533.62
  4. Step 4: Simplify right side
    975.72x = 718,503.32
  5. Step 5: Solve for x
    x = 718,503.32/975.72
  6. Step 6: Final answer
    x = 736.38

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Half scale
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Double scale
Find fourth proportional to 976.72, 1,347.85 and 534.62
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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.