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Finding the Fourth Proportional to 463.55, 693.50 and 372.42

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Solution

The fourth proportional to 463.55, 693.50 and 372.42 is: 557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.55 : 693.50 = 372.42 : x
  2. Step 2: Convert to fraction form
    463.55/693.50 = 372.42/x
  3. Step 3: Cross multiply
    463.55x = 693.50 × 372.42
  4. Step 4: Simplify right side
    463.55x = 258,271.41
  5. Step 5: Solve for x
    x = 258,271.41/463.55
  6. Step 6: Final answer
    x = 557.17

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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.