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Finding the Fourth Proportional to 712.66, 983.45 and 397.91

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Solution

The fourth proportional to 712.66, 983.45 and 397.91 is: 549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.66 : 983.45 = 397.91 : x
  2. Step 2: Convert to fraction form
    712.66/983.45 = 397.91/x
  3. Step 3: Cross multiply
    712.66x = 983.45 × 397.91
  4. Step 4: Simplify right side
    712.66x = 391,328.04
  5. Step 5: Solve for x
    x = 391,328.04/712.66
  6. Step 6: Final answer
    x = 549.11

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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.