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Finding the Fourth Proportional to 1,754.91, 2,630.53 and 658.80

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Solution

The fourth proportional to 1,754.91, 2,630.53 and 658.80 is: 987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.91 : 2,630.53 = 658.80 : x
  2. Step 2: Convert to fraction form
    1,754.91/2,630.53 = 658.80/x
  3. Step 3: Cross multiply
    1,754.91x = 2,630.53 × 658.80
  4. Step 4: Simplify right side
    1,754.91x = 1,732,993.16
  5. Step 5: Solve for x
    x = 1,732,993.16/1,754.91
  6. Step 6: Final answer
    x = 987.51

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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.