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Finding the Fourth Proportional to 529.02, 728.49 and 381.39

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Solution

The fourth proportional to 529.02, 728.49 and 381.39 is: 525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.02 : 728.49 = 381.39 : x
  2. Step 2: Convert to fraction form
    529.02/728.49 = 381.39/x
  3. Step 3: Cross multiply
    529.02x = 728.49 × 381.39
  4. Step 4: Simplify right side
    529.02x = 277,838.80
  5. Step 5: Solve for x
    x = 277,838.80/529.02
  6. Step 6: Final answer
    x = 525.20

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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.