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Finding the Fourth Proportional to 981.90, 1,354.32 and 632.25

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Solution

The fourth proportional to 981.90, 1,354.32 and 632.25 is: 872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.90 : 1,354.32 = 632.25 : x
  2. Step 2: Convert to fraction form
    981.90/1,354.32 = 632.25/x
  3. Step 3: Cross multiply
    981.90x = 1,354.32 × 632.25
  4. Step 4: Simplify right side
    981.90x = 856,268.82
  5. Step 5: Solve for x
    x = 856,268.82/981.90
  6. Step 6: Final answer
    x = 872.05

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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.