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Finding the Fourth Proportional to 462.34, 691.67 and 388.53

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Solution

The fourth proportional to 462.34, 691.67 and 388.53 is: 581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.34 : 691.67 = 388.53 : x
  2. Step 2: Convert to fraction form
    462.34/691.67 = 388.53/x
  3. Step 3: Cross multiply
    462.34x = 691.67 × 388.53
  4. Step 4: Simplify right side
    462.34x = 268,735.52
  5. Step 5: Solve for x
    x = 268,735.52/462.34
  6. Step 6: Final answer
    x = 581.25

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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.