Home / 1,126.13-1,687.17-475.70

Finding the Fourth Proportional to 1,126.13, 1,687.17 and 475.70

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Solution

The fourth proportional to 1,126.13, 1,687.17 and 475.70 is: 712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.13 : 1,687.17 = 475.70 : x
  2. Step 2: Convert to fraction form
    1,126.13/1,687.17 = 475.70/x
  3. Step 3: Cross multiply
    1,126.13x = 1,687.17 × 475.70
  4. Step 4: Simplify right side
    1,126.13x = 802,586.77
  5. Step 5: Solve for x
    x = 802,586.77/1,126.13
  6. Step 6: Final answer
    x = 712.69

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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.