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Finding the Fourth Proportional to 463.69, 693.95 and 396.01

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Solution

The fourth proportional to 463.69, 693.95 and 396.01 is: 592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.69 : 693.95 = 396.01 : x
  2. Step 2: Convert to fraction form
    463.69/693.95 = 396.01/x
  3. Step 3: Cross multiply
    463.69x = 693.95 × 396.01
  4. Step 4: Simplify right side
    463.69x = 274,807.67
  5. Step 5: Solve for x
    x = 274,807.67/463.69
  6. Step 6: Final answer
    x = 592.66

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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.