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Finding the Fourth Proportional to 974.84, 1,463.04 and 512.76

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Solution

The fourth proportional to 974.84, 1,463.04 and 512.76 is: 769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.84 : 1,463.04 = 512.76 : x
  2. Step 2: Convert to fraction form
    974.84/1,463.04 = 512.76/x
  3. Step 3: Cross multiply
    974.84x = 1,463.04 × 512.76
  4. Step 4: Simplify right side
    974.84x = 750,188.39
  5. Step 5: Solve for x
    x = 750,188.39/974.84
  6. Step 6: Final answer
    x = 769.55

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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.