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Finding the Fourth Proportional to 2,359.29, 3,538.95 and 715.85

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Solution

The fourth proportional to 2,359.29, 3,538.95 and 715.85 is: 1,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.29 : 3,538.95 = 715.85 : x
  2. Step 2: Convert to fraction form
    2,359.29/3,538.95 = 715.85/x
  3. Step 3: Cross multiply
    2,359.29x = 3,538.95 × 715.85
  4. Step 4: Simplify right side
    2,359.29x = 2,533,372.17
  5. Step 5: Solve for x
    x = 2,533,372.17/2,359.29
  6. Step 6: Final answer
    x = 1,073.78

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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.