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Finding the Fourth Proportional to 712.39, 983.06 and 397.69

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Solution

The fourth proportional to 712.39, 983.06 and 397.69 is: 548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.39 : 983.06 = 397.69 : x
  2. Step 2: Convert to fraction form
    712.39/983.06 = 397.69/x
  3. Step 3: Cross multiply
    712.39x = 983.06 × 397.69
  4. Step 4: Simplify right side
    712.39x = 390,951.67
  5. Step 5: Solve for x
    x = 390,951.67/712.39
  6. Step 6: Final answer
    x = 548.79

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Half scale
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Double scale
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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.