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Finding the Fourth Proportional to 529.32, 729.63 and 363.25

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Solution

The fourth proportional to 529.32, 729.63 and 363.25 is: 500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.32 : 729.63 = 363.25 : x
  2. Step 2: Convert to fraction form
    529.32/729.63 = 363.25/x
  3. Step 3: Cross multiply
    529.32x = 729.63 × 363.25
  4. Step 4: Simplify right side
    529.32x = 265,038.10
  5. Step 5: Solve for x
    x = 265,038.10/529.32
  6. Step 6: Final answer
    x = 500.71

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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.