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Finding the Fourth Proportional to 1,053.25, 1,579.20 and 437.38

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Solution

The fourth proportional to 1,053.25, 1,579.20 and 437.38 is: 655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.25 : 1,579.20 = 437.38 : x
  2. Step 2: Convert to fraction form
    1,053.25/1,579.20 = 437.38/x
  3. Step 3: Cross multiply
    1,053.25x = 1,579.20 × 437.38
  4. Step 4: Simplify right side
    1,053.25x = 690,713.29
  5. Step 5: Solve for x
    x = 690,713.29/1,053.25
  6. Step 6: Final answer
    x = 655.79

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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.