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Finding the Fourth Proportional to 1,148.48, 1,721.12 and 660.88

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Solution

The fourth proportional to 1,148.48, 1,721.12 and 660.88 is: 990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.48 : 1,721.12 = 660.88 : x
  2. Step 2: Convert to fraction form
    1,148.48/1,721.12 = 660.88/x
  3. Step 3: Cross multiply
    1,148.48x = 1,721.12 × 660.88
  4. Step 4: Simplify right side
    1,148.48x = 1,137,453.79
  5. Step 5: Solve for x
    x = 1,137,453.79/1,148.48
  6. Step 6: Final answer
    x = 990.40

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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.