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Finding the Fourth Proportional to 659.85, 989.74 and 248.86

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Solution

The fourth proportional to 659.85, 989.74 and 248.86 is: 373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.85 : 989.74 = 248.86 : x
  2. Step 2: Convert to fraction form
    659.85/989.74 = 248.86/x
  3. Step 3: Cross multiply
    659.85x = 989.74 × 248.86
  4. Step 4: Simplify right side
    659.85x = 246,306.70
  5. Step 5: Solve for x
    x = 246,306.70/659.85
  6. Step 6: Final answer
    x = 373.28

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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.