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Finding the Fourth Proportional to 1,052.31, 1,577.23 and 662.40

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Solution

The fourth proportional to 1,052.31, 1,577.23 and 662.40 is: 992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.31 : 1,577.23 = 662.40 : x
  2. Step 2: Convert to fraction form
    1,052.31/1,577.23 = 662.40/x
  3. Step 3: Cross multiply
    1,052.31x = 1,577.23 × 662.40
  4. Step 4: Simplify right side
    1,052.31x = 1,044,757.15
  5. Step 5: Solve for x
    x = 1,044,757.15/1,052.31
  6. Step 6: Final answer
    x = 992.82

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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.