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Finding the Fourth Proportional to 732.19, 1,009.97 and 452.32

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Solution

The fourth proportional to 732.19, 1,009.97 and 452.32 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.19 : 1,009.97 = 452.32 : x
  2. Step 2: Convert to fraction form
    732.19/1,009.97 = 452.32/x
  3. Step 3: Cross multiply
    732.19x = 1,009.97 × 452.32
  4. Step 4: Simplify right side
    732.19x = 456,830.80
  5. Step 5: Solve for x
    x = 456,830.80/732.19
  6. Step 6: Final answer
    x = 623.92

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Double scale
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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.