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Finding the Fourth Proportional to 462.34, 696.97 and 390.70

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Solution

The fourth proportional to 462.34, 696.97 and 390.70 is: 588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.34 : 696.97 = 390.70 : x
  2. Step 2: Convert to fraction form
    462.34/696.97 = 390.70/x
  3. Step 3: Cross multiply
    462.34x = 696.97 × 390.70
  4. Step 4: Simplify right side
    462.34x = 272,306.18
  5. Step 5: Solve for x
    x = 272,306.18/462.34
  6. Step 6: Final answer
    x = 588.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.