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Finding the Fourth Proportional to 778.68, 1,074.40 and 463.76

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Solution

The fourth proportional to 778.68, 1,074.40 and 463.76 is: 639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.68 : 1,074.40 = 463.76 : x
  2. Step 2: Convert to fraction form
    778.68/1,074.40 = 463.76/x
  3. Step 3: Cross multiply
    778.68x = 1,074.40 × 463.76
  4. Step 4: Simplify right side
    778.68x = 498,263.74
  5. Step 5: Solve for x
    x = 498,263.74/778.68
  6. Step 6: Final answer
    x = 639.88

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1.5x scale

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.