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Finding the Fourth Proportional to 701.49, 1,051.16 and 353.85

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Solution

The fourth proportional to 701.49, 1,051.16 and 353.85 is: 530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.49 : 1,051.16 = 353.85 : x
  2. Step 2: Convert to fraction form
    701.49/1,051.16 = 353.85/x
  3. Step 3: Cross multiply
    701.49x = 1,051.16 × 353.85
  4. Step 4: Simplify right side
    701.49x = 371,951.20
  5. Step 5: Solve for x
    x = 371,951.20/701.49
  6. Step 6: Final answer
    x = 530.23

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1.5x scale

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.