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Finding the Fourth Proportional to 2,319.90, 3,479.17 and 653.91

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Solution

The fourth proportional to 2,319.90, 3,479.17 and 653.91 is: 980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.90 : 3,479.17 = 653.91 : x
  2. Step 2: Convert to fraction form
    2,319.90/3,479.17 = 653.91/x
  3. Step 3: Cross multiply
    2,319.90x = 3,479.17 × 653.91
  4. Step 4: Simplify right side
    2,319.90x = 2,275,079.95
  5. Step 5: Solve for x
    x = 2,275,079.95/2,319.90
  6. Step 6: Final answer
    x = 980.68

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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.