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Finding the Fourth Proportional to 701.24, 1,050.95 and 538.13

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Solution

The fourth proportional to 701.24, 1,050.95 and 538.13 is: 806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.24 : 1,050.95 = 538.13 : x
  2. Step 2: Convert to fraction form
    701.24/1,050.95 = 538.13/x
  3. Step 3: Cross multiply
    701.24x = 1,050.95 × 538.13
  4. Step 4: Simplify right side
    701.24x = 565,551.70
  5. Step 5: Solve for x
    x = 565,551.70/701.24
  6. Step 6: Final answer
    x = 806.50

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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.