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Finding the Fourth Proportional to 981.65, 1,354.68 and 539.56

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Solution

The fourth proportional to 981.65, 1,354.68 and 539.56 is: 744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.65 : 1,354.68 = 539.56 : x
  2. Step 2: Convert to fraction form
    981.65/1,354.68 = 539.56/x
  3. Step 3: Cross multiply
    981.65x = 1,354.68 × 539.56
  4. Step 4: Simplify right side
    981.65x = 730,931.14
  5. Step 5: Solve for x
    x = 730,931.14/981.65
  6. Step 6: Final answer
    x = 744.59

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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.