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Finding the Fourth Proportional to 529.11, 729.47 and 434.23

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Solution

The fourth proportional to 529.11, 729.47 and 434.23 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.11 : 729.47 = 434.23 : x
  2. Step 2: Convert to fraction form
    529.11/729.47 = 434.23/x
  3. Step 3: Cross multiply
    529.11x = 729.47 × 434.23
  4. Step 4: Simplify right side
    529.11x = 316,755.59
  5. Step 5: Solve for x
    x = 316,755.59/529.11
  6. Step 6: Final answer
    x = 598.66

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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.