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Finding the Fourth Proportional to 463.80, 697.05 and 404.40

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Solution

The fourth proportional to 463.80, 697.05 and 404.40 is: 607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.80 : 697.05 = 404.40 : x
  2. Step 2: Convert to fraction form
    463.80/697.05 = 404.40/x
  3. Step 3: Cross multiply
    463.80x = 697.05 × 404.40
  4. Step 4: Simplify right side
    463.80x = 281,887.02
  5. Step 5: Solve for x
    x = 281,887.02/463.80
  6. Step 6: Final answer
    x = 607.78

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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.