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Finding the Fourth Proportional to 1,632.93, 2,448.79 and 658.50

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Solution

The fourth proportional to 1,632.93, 2,448.79 and 658.50 is: 987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.93 : 2,448.79 = 658.50 : x
  2. Step 2: Convert to fraction form
    1,632.93/2,448.79 = 658.50/x
  3. Step 3: Cross multiply
    1,632.93x = 2,448.79 × 658.50
  4. Step 4: Simplify right side
    1,632.93x = 1,612,526.57
  5. Step 5: Solve for x
    x = 1,612,526.57/1,632.93
  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.