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Finding the Fourth Proportional to 981.89, 1,354.45 and 613.25

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Solution

The fourth proportional to 981.89, 1,354.45 and 613.25 is: 845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.89 : 1,354.45 = 613.25 : x
  2. Step 2: Convert to fraction form
    981.89/1,354.45 = 613.25/x
  3. Step 3: Cross multiply
    981.89x = 1,354.45 × 613.25
  4. Step 4: Simplify right side
    981.89x = 830,613.40
  5. Step 5: Solve for x
    x = 830,613.40/981.89
  6. Step 6: Final answer
    x = 845.93

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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.