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Finding the Fourth Proportional to 715.32, 986.78 and 463.15

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Solution

The fourth proportional to 715.32, 986.78 and 463.15 is: 638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.32 : 986.78 = 463.15 : x
  2. Step 2: Convert to fraction form
    715.32/986.78 = 463.15/x
  3. Step 3: Cross multiply
    715.32x = 986.78 × 463.15
  4. Step 4: Simplify right side
    715.32x = 457,024.84
  5. Step 5: Solve for x
    x = 457,024.84/715.32
  6. Step 6: Final answer
    x = 638.91

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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.