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Finding the Fourth Proportional to 529.67, 729.18 and 398.45

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Solution

The fourth proportional to 529.67, 729.18 and 398.45 is: 548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.67 : 729.18 = 398.45 : x
  2. Step 2: Convert to fraction form
    529.67/729.18 = 398.45/x
  3. Step 3: Cross multiply
    529.67x = 729.18 × 398.45
  4. Step 4: Simplify right side
    529.67x = 290,538.13
  5. Step 5: Solve for x
    x = 290,538.13/529.67
  6. Step 6: Final answer
    x = 548.53

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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.