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Finding the Fourth Proportional to 814.24, 1,124.18 and 515.60

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Solution

The fourth proportional to 814.24, 1,124.18 and 515.60 is: 711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.24 : 1,124.18 = 515.60 : x
  2. Step 2: Convert to fraction form
    814.24/1,124.18 = 515.60/x
  3. Step 3: Cross multiply
    814.24x = 1,124.18 × 515.60
  4. Step 4: Simplify right side
    814.24x = 579,627.21
  5. Step 5: Solve for x
    x = 579,627.21/814.24
  6. Step 6: Final answer
    x = 711.86

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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.