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Finding the Fourth Proportional to 2,707.90, 4,061.84 and 655.90

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Solution

The fourth proportional to 2,707.90, 4,061.84 and 655.90 is: 983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.90 : 4,061.84 = 655.90 : x
  2. Step 2: Convert to fraction form
    2,707.90/4,061.84 = 655.90/x
  3. Step 3: Cross multiply
    2,707.90x = 4,061.84 × 655.90
  4. Step 4: Simplify right side
    2,707.90x = 2,664,160.86
  5. Step 5: Solve for x
    x = 2,664,160.86/2,707.90
  6. Step 6: Final answer
    x = 983.85

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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.