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Finding the Fourth Proportional to 981.85, 1,354.20 and 609.02

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Solution

The fourth proportional to 981.85, 1,354.20 and 609.02 is: 839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.85 : 1,354.20 = 609.02 : x
  2. Step 2: Convert to fraction form
    981.85/1,354.20 = 609.02/x
  3. Step 3: Cross multiply
    981.85x = 1,354.20 × 609.02
  4. Step 4: Simplify right side
    981.85x = 824,734.88
  5. Step 5: Solve for x
    x = 824,734.88/981.85
  6. Step 6: Final answer
    x = 839.98

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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.