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Finding the Fourth Proportional to 531.32, 800.65 and 506.60

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Solution

The fourth proportional to 531.32, 800.65 and 506.60 is: 763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.32 : 800.65 = 506.60 : x
  2. Step 2: Convert to fraction form
    531.32/800.65 = 506.60/x
  3. Step 3: Cross multiply
    531.32x = 800.65 × 506.60
  4. Step 4: Simplify right side
    531.32x = 405,609.29
  5. Step 5: Solve for x
    x = 405,609.29/531.32
  6. Step 6: Final answer
    x = 763.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.