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Finding the Fourth Proportional to 462.66, 693.53 and 257.32

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Solution

The fourth proportional to 462.66, 693.53 and 257.32 is: 385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 693.53 = 257.32 : x
  2. Step 2: Convert to fraction form
    462.66/693.53 = 257.32/x
  3. Step 3: Cross multiply
    462.66x = 693.53 × 257.32
  4. Step 4: Simplify right side
    462.66x = 178,459.68
  5. Step 5: Solve for x
    x = 178,459.68/462.66
  6. Step 6: Final answer
    x = 385.73

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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.