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Finding the Fourth Proportional to 1,156.57, 1,734.93 and 425.90

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Solution

The fourth proportional to 1,156.57, 1,734.93 and 425.90 is: 638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.57 : 1,734.93 = 425.90 : x
  2. Step 2: Convert to fraction form
    1,156.57/1,734.93 = 425.90/x
  3. Step 3: Cross multiply
    1,156.57x = 1,734.93 × 425.90
  4. Step 4: Simplify right side
    1,156.57x = 738,911.02
  5. Step 5: Solve for x
    x = 738,911.02/1,156.57
  6. Step 6: Final answer
    x = 638.88

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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.