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Finding the Fourth Proportional to 1,061.53, 1,592.20 and 331.03

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Solution

The fourth proportional to 1,061.53, 1,592.20 and 331.03 is: 496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.53 : 1,592.20 = 331.03 : x
  2. Step 2: Convert to fraction form
    1,061.53/1,592.20 = 331.03/x
  3. Step 3: Cross multiply
    1,061.53x = 1,592.20 × 331.03
  4. Step 4: Simplify right side
    1,061.53x = 527,068.37
  5. Step 5: Solve for x
    x = 527,068.37/1,061.53
  6. Step 6: Final answer
    x = 496.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.