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Finding the Fourth Proportional to 529.20, 728.75 and 381.58

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Solution

The fourth proportional to 529.20, 728.75 and 381.58 is: 525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.20 : 728.75 = 381.58 : x
  2. Step 2: Convert to fraction form
    529.20/728.75 = 381.58/x
  3. Step 3: Cross multiply
    529.20x = 728.75 × 381.58
  4. Step 4: Simplify right side
    529.20x = 278,073.41
  5. Step 5: Solve for x
    x = 278,073.41/529.20
  6. Step 6: Final answer
    x = 525.46

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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.