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Finding the Fourth Proportional to 778.71, 1,074.15 and 463.77

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Solution

The fourth proportional to 778.71, 1,074.15 and 463.77 is: 639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.71 : 1,074.15 = 463.77 : x
  2. Step 2: Convert to fraction form
    778.71/1,074.15 = 463.77/x
  3. Step 3: Cross multiply
    778.71x = 1,074.15 × 463.77
  4. Step 4: Simplify right side
    778.71x = 498,158.55
  5. Step 5: Solve for x
    x = 498,158.55/778.71
  6. Step 6: Final answer
    x = 639.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.