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Finding the Fourth Proportional to 743.87, 1,114.53 and 635.15

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Solution

The fourth proportional to 743.87, 1,114.53 and 635.15 is: 951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.87 : 1,114.53 = 635.15 : x
  2. Step 2: Convert to fraction form
    743.87/1,114.53 = 635.15/x
  3. Step 3: Cross multiply
    743.87x = 1,114.53 × 635.15
  4. Step 4: Simplify right side
    743.87x = 707,888.16
  5. Step 5: Solve for x
    x = 707,888.16/743.87
  6. Step 6: Final answer
    x = 951.64

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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.