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Finding the Fourth Proportional to 1,112.13, 1,666.17 and 563.76

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Solution

The fourth proportional to 1,112.13, 1,666.17 and 563.76 is: 844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.13 : 1,666.17 = 563.76 : x
  2. Step 2: Convert to fraction form
    1,112.13/1,666.17 = 563.76/x
  3. Step 3: Cross multiply
    1,112.13x = 1,666.17 × 563.76
  4. Step 4: Simplify right side
    1,112.13x = 939,320.00
  5. Step 5: Solve for x
    x = 939,320.00/1,112.13
  6. Step 6: Final answer
    x = 844.61

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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.