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Finding the Fourth Proportional to 2,387.48, 3,580.76 and 655.70

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Solution

The fourth proportional to 2,387.48, 3,580.76 and 655.70 is: 983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.48 : 3,580.76 = 655.70 : x
  2. Step 2: Convert to fraction form
    2,387.48/3,580.76 = 655.70/x
  3. Step 3: Cross multiply
    2,387.48x = 3,580.76 × 655.70
  4. Step 4: Simplify right side
    2,387.48x = 2,347,883.15
  5. Step 5: Solve for x
    x = 2,347,883.15/2,387.48
  6. Step 6: Final answer
    x = 983.42

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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.