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Finding the Fourth Proportional to 660.86, 988.92 and 487.12

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Solution

The fourth proportional to 660.86, 988.92 and 487.12 is: 728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.86 : 988.92 = 487.12 : x
  2. Step 2: Convert to fraction form
    660.86/988.92 = 487.12/x
  3. Step 3: Cross multiply
    660.86x = 988.92 × 487.12
  4. Step 4: Simplify right side
    660.86x = 481,722.71
  5. Step 5: Solve for x
    x = 481,722.71/660.86
  6. Step 6: Final answer
    x = 728.93

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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.