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Finding the Fourth Proportional to 1,560.53, 2,341.87 and 635.92

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Solution

The fourth proportional to 1,560.53, 2,341.87 and 635.92 is: 954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.53 : 2,341.87 = 635.92 : x
  2. Step 2: Convert to fraction form
    1,560.53/2,341.87 = 635.92/x
  3. Step 3: Cross multiply
    1,560.53x = 2,341.87 × 635.92
  4. Step 4: Simplify right side
    1,560.53x = 1,489,234.53
  5. Step 5: Solve for x
    x = 1,489,234.53/1,560.53
  6. Step 6: Final answer
    x = 954.31

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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.