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Finding the Fourth Proportional to 1,577.31, 2,366.91 and 652.88

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Solution

The fourth proportional to 1,577.31, 2,366.91 and 652.88 is: 979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.31 : 2,366.91 = 652.88 : x
  2. Step 2: Convert to fraction form
    1,577.31/2,366.91 = 652.88/x
  3. Step 3: Cross multiply
    1,577.31x = 2,366.91 × 652.88
  4. Step 4: Simplify right side
    1,577.31x = 1,545,308.20
  5. Step 5: Solve for x
    x = 1,545,308.20/1,577.31
  6. Step 6: Final answer
    x = 979.71

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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.