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Finding the Fourth Proportional to 660.48, 988.56 and 588.48

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Solution

The fourth proportional to 660.48, 988.56 and 588.48 is: 880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.48 : 988.56 = 588.48 : x
  2. Step 2: Convert to fraction form
    660.48/988.56 = 588.48/x
  3. Step 3: Cross multiply
    660.48x = 988.56 × 588.48
  4. Step 4: Simplify right side
    660.48x = 581,747.79
  5. Step 5: Solve for x
    x = 581,747.79/660.48
  6. Step 6: Final answer
    x = 880.80

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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.