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Finding the Fourth Proportional to 701.14, 1,050.98 and 353.70

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Solution

The fourth proportional to 701.14, 1,050.98 and 353.70 is: 530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.14 : 1,050.98 = 353.70 : x
  2. Step 2: Convert to fraction form
    701.14/1,050.98 = 353.70/x
  3. Step 3: Cross multiply
    701.14x = 1,050.98 × 353.70
  4. Step 4: Simplify right side
    701.14x = 371,730.97
  5. Step 5: Solve for x
    x = 371,730.97/701.14
  6. Step 6: Final answer
    x = 530.18

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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.