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Finding the Fourth Proportional to 462.61, 693.91 and 154.47

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Solution

The fourth proportional to 462.61, 693.91 and 154.47 is: 231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.61 : 693.91 = 154.47 : x
  2. Step 2: Convert to fraction form
    462.61/693.91 = 154.47/x
  3. Step 3: Cross multiply
    462.61x = 693.91 × 154.47
  4. Step 4: Simplify right side
    462.61x = 107,188.28
  5. Step 5: Solve for x
    x = 107,188.28/462.61
  6. Step 6: Final answer
    x = 231.70

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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.