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Finding the Fourth Proportional to 463.37, 693.45 and 280.89

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Solution

The fourth proportional to 463.37, 693.45 and 280.89 is: 420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.37 : 693.45 = 280.89 : x
  2. Step 2: Convert to fraction form
    463.37/693.45 = 280.89/x
  3. Step 3: Cross multiply
    463.37x = 693.45 × 280.89
  4. Step 4: Simplify right side
    463.37x = 194,783.17
  5. Step 5: Solve for x
    x = 194,783.17/463.37
  6. Step 6: Final answer
    x = 420.37

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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.