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Finding the Fourth Proportional to 660.65, 988.01 and 587.96

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Solution

The fourth proportional to 660.65, 988.01 and 587.96 is: 879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.65 : 988.01 = 587.96 : x
  2. Step 2: Convert to fraction form
    660.65/988.01 = 587.96/x
  3. Step 3: Cross multiply
    660.65x = 988.01 × 587.96
  4. Step 4: Simplify right side
    660.65x = 580,902.48
  5. Step 5: Solve for x
    x = 580,902.48/660.65
  6. Step 6: Final answer
    x = 879.29

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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.