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Finding the Fourth Proportional to 1,039.50, 1,559.86 and 462.38

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Solution

The fourth proportional to 1,039.50, 1,559.86 and 462.38 is: 693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.50 : 1,559.86 = 462.38 : x
  2. Step 2: Convert to fraction form
    1,039.50/1,559.86 = 462.38/x
  3. Step 3: Cross multiply
    1,039.50x = 1,559.86 × 462.38
  4. Step 4: Simplify right side
    1,039.50x = 721,239.11
  5. Step 5: Solve for x
    x = 721,239.11/1,039.50
  6. Step 6: Final answer
    x = 693.83

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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.