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Finding the Fourth Proportional to 1,053.30, 1,580.21 and 476.02

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Solution

The fourth proportional to 1,053.30, 1,580.21 and 476.02 is: 714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.30 : 1,580.21 = 476.02 : x
  2. Step 2: Convert to fraction form
    1,053.30/1,580.21 = 476.02/x
  3. Step 3: Cross multiply
    1,053.30x = 1,580.21 × 476.02
  4. Step 4: Simplify right side
    1,053.30x = 752,211.56
  5. Step 5: Solve for x
    x = 752,211.56/1,053.30
  6. Step 6: Final answer
    x = 714.15

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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.