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Finding the Fourth Proportional to 659, 988.78 and 402.50

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Solution

The fourth proportional to 659, 988.78 and 402.50 is: 603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    659 : 988.78 = 402.50 : x
  2. Step 2: Convert to fraction form
    659/988.78 = 402.50/x
  3. Step 3: Cross multiply
    659x = 988.78 × 402.50
  4. Step 4: Simplify right side
    659x = 397,983.95
  5. Step 5: Solve for x
    x = 397,983.95/659
  6. Step 6: Final answer
    x = 603.92

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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.