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Finding the Fourth Proportional to 1,052.48, 1,577.70 and 402.72

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Solution

The fourth proportional to 1,052.48, 1,577.70 and 402.72 is: 603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.48 : 1,577.70 = 402.72 : x
  2. Step 2: Convert to fraction form
    1,052.48/1,577.70 = 402.72/x
  3. Step 3: Cross multiply
    1,052.48x = 1,577.70 × 402.72
  4. Step 4: Simplify right side
    1,052.48x = 635,371.34
  5. Step 5: Solve for x
    x = 635,371.34/1,052.48
  6. Step 6: Final answer
    x = 603.69

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