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Finding the Fourth Proportional to 1,539.58, 2,309.27 and 614.88

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Solution

The fourth proportional to 1,539.58, 2,309.27 and 614.88 is: 922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.58 : 2,309.27 = 614.88 : x
  2. Step 2: Convert to fraction form
    1,539.58/2,309.27 = 614.88/x
  3. Step 3: Cross multiply
    1,539.58x = 2,309.27 × 614.88
  4. Step 4: Simplify right side
    1,539.58x = 1,419,925.47
  5. Step 5: Solve for x
    x = 1,419,925.47/1,539.58
  6. Step 6: Final answer
    x = 922.28

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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.