Home / 1,117.13-1,675.68-458.87

Finding the Fourth Proportional to 1,117.13, 1,675.68 and 458.87

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Solution

The fourth proportional to 1,117.13, 1,675.68 and 458.87 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.13 : 1,675.68 = 458.87 : x
  2. Step 2: Convert to fraction form
    1,117.13/1,675.68 = 458.87/x
  3. Step 3: Cross multiply
    1,117.13x = 1,675.68 × 458.87
  4. Step 4: Simplify right side
    1,117.13x = 768,910.90
  5. Step 5: Solve for x
    x = 768,910.90/1,117.13
  6. Step 6: Final answer
    x = 688.29

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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.