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Finding the Fourth Proportional to 529.90, 729.47 and 455.78

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Solution

The fourth proportional to 529.90, 729.47 and 455.78 is: 627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.90 : 729.47 = 455.78 : x
  2. Step 2: Convert to fraction form
    529.90/729.47 = 455.78/x
  3. Step 3: Cross multiply
    529.90x = 729.47 × 455.78
  4. Step 4: Simplify right side
    529.90x = 332,480.80
  5. Step 5: Solve for x
    x = 332,480.80/529.90
  6. Step 6: Final answer
    x = 627.44

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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.