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Finding the Fourth Proportional to 1,052.70, 1,577.70 and 503.70

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Solution

The fourth proportional to 1,052.70, 1,577.70 and 503.70 is: 754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.70 : 1,577.70 = 503.70 : x
  2. Step 2: Convert to fraction form
    1,052.70/1,577.70 = 503.70/x
  3. Step 3: Cross multiply
    1,052.70x = 1,577.70 × 503.70
  4. Step 4: Simplify right side
    1,052.70x = 794,687.49
  5. Step 5: Solve for x
    x = 794,687.49/1,052.70
  6. Step 6: Final answer
    x = 754.90

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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.