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Finding the Fourth Proportional to 1,139.66, 1,709.93 and 562.13

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Solution

The fourth proportional to 1,139.66, 1,709.93 and 562.13 is: 843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.66 : 1,709.93 = 562.13 : x
  2. Step 2: Convert to fraction form
    1,139.66/1,709.93 = 562.13/x
  3. Step 3: Cross multiply
    1,139.66x = 1,709.93 × 562.13
  4. Step 4: Simplify right side
    1,139.66x = 961,195.81
  5. Step 5: Solve for x
    x = 961,195.81/1,139.66
  6. Step 6: Final answer
    x = 843.41

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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.