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Finding the Fourth Proportional to 1,377.92, 2,065.76 and 647.12

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Solution

The fourth proportional to 1,377.92, 2,065.76 and 647.12 is: 970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.92 : 2,065.76 = 647.12 : x
  2. Step 2: Convert to fraction form
    1,377.92/2,065.76 = 647.12/x
  3. Step 3: Cross multiply
    1,377.92x = 2,065.76 × 647.12
  4. Step 4: Simplify right side
    1,377.92x = 1,336,794.61
  5. Step 5: Solve for x
    x = 1,336,794.61/1,377.92
  6. Step 6: Final answer
    x = 970.15

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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.