Home / 1,129.50-1,557.27-814.59

Finding the Fourth Proportional to 1,129.50, 1,557.27 and 814.59

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Solution

The fourth proportional to 1,129.50, 1,557.27 and 814.59 is: 1,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.50 : 1,557.27 = 814.59 : x
  2. Step 2: Convert to fraction form
    1,129.50/1,557.27 = 814.59/x
  3. Step 3: Cross multiply
    1,129.50x = 1,557.27 × 814.59
  4. Step 4: Simplify right side
    1,129.50x = 1,268,536.57
  5. Step 5: Solve for x
    x = 1,268,536.57/1,129.50
  6. Step 6: Final answer
    x = 1,123.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.