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Finding the Fourth Proportional to 701.91, 1,053.18 and 495.99

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Solution

The fourth proportional to 701.91, 1,053.18 and 495.99 is: 744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.91 : 1,053.18 = 495.99 : x
  2. Step 2: Convert to fraction form
    701.91/1,053.18 = 495.99/x
  3. Step 3: Cross multiply
    701.91x = 1,053.18 × 495.99
  4. Step 4: Simplify right side
    701.91x = 522,366.75
  5. Step 5: Solve for x
    x = 522,366.75/701.91
  6. Step 6: Final answer
    x = 744.21

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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.