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Finding the Fourth Proportional to 712.47, 983.18 and 397.76

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Solution

The fourth proportional to 712.47, 983.18 and 397.76 is: 548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.47 : 983.18 = 397.76 : x
  2. Step 2: Convert to fraction form
    712.47/983.18 = 397.76/x
  3. Step 3: Cross multiply
    712.47x = 983.18 × 397.76
  4. Step 4: Simplify right side
    712.47x = 391,062.77
  5. Step 5: Solve for x
    x = 391,062.77/712.47
  6. Step 6: Final answer
    x = 548.88

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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.