Home / 1,114.13-1,669.17-565.76

Finding the Fourth Proportional to 1,114.13, 1,669.17 and 565.76

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Solution

The fourth proportional to 1,114.13, 1,669.17 and 565.76 is: 847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.13 : 1,669.17 = 565.76 : x
  2. Step 2: Convert to fraction form
    1,114.13/1,669.17 = 565.76/x
  3. Step 3: Cross multiply
    1,114.13x = 1,669.17 × 565.76
  4. Step 4: Simplify right side
    1,114.13x = 944,349.62
  5. Step 5: Solve for x
    x = 944,349.62/1,114.13
  6. Step 6: Final answer
    x = 847.61

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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.