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Finding the Fourth Proportional to 423, 632.64 and 362.85

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Solution

The fourth proportional to 423, 632.64 and 362.85 is: 542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423 : 632.64 = 362.85 : x
  2. Step 2: Convert to fraction form
    423/632.64 = 362.85/x
  3. Step 3: Cross multiply
    423x = 632.64 × 362.85
  4. Step 4: Simplify right side
    423x = 229,553.42
  5. Step 5: Solve for x
    x = 229,553.42/423
  6. Step 6: Final answer
    x = 542.68

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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.