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Finding the Fourth Proportional to 984.72, 1,358.16 and 634.80

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Solution

The fourth proportional to 984.72, 1,358.16 and 634.80 is: 875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.72 : 1,358.16 = 634.80 : x
  2. Step 2: Convert to fraction form
    984.72/1,358.16 = 634.80/x
  3. Step 3: Cross multiply
    984.72x = 1,358.16 × 634.80
  4. Step 4: Simplify right side
    984.72x = 862,159.97
  5. Step 5: Solve for x
    x = 862,159.97/984.72
  6. Step 6: Final answer
    x = 875.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.