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Finding the Fourth Proportional to 982.25, 1,355.51 and 632.95

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Solution

The fourth proportional to 982.25, 1,355.51 and 632.95 is: 873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.25 : 1,355.51 = 632.95 : x
  2. Step 2: Convert to fraction form
    982.25/1,355.51 = 632.95/x
  3. Step 3: Cross multiply
    982.25x = 1,355.51 × 632.95
  4. Step 4: Simplify right side
    982.25x = 857,970.05
  5. Step 5: Solve for x
    x = 857,970.05/982.25
  6. Step 6: Final answer
    x = 873.47

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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.