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Finding the Fourth Proportional to 1,542.86, 2,313.79 and 502.59

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Solution

The fourth proportional to 1,542.86, 2,313.79 and 502.59 is: 753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.86 : 2,313.79 = 502.59 : x
  2. Step 2: Convert to fraction form
    1,542.86/2,313.79 = 502.59/x
  3. Step 3: Cross multiply
    1,542.86x = 2,313.79 × 502.59
  4. Step 4: Simplify right side
    1,542.86x = 1,162,882.12
  5. Step 5: Solve for x
    x = 1,162,882.12/1,542.86
  6. Step 6: Final answer
    x = 753.72

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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.