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Finding the Fourth Proportional to 462.89, 693.99 and 280.24

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Solution

The fourth proportional to 462.89, 693.99 and 280.24 is: 420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.89 : 693.99 = 280.24 : x
  2. Step 2: Convert to fraction form
    462.89/693.99 = 280.24/x
  3. Step 3: Cross multiply
    462.89x = 693.99 × 280.24
  4. Step 4: Simplify right side
    462.89x = 194,483.76
  5. Step 5: Solve for x
    x = 194,483.76/462.89
  6. Step 6: Final answer
    x = 420.15

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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.