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Finding the Fourth Proportional to 653.81, 985.15 and 540.79

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Solution

The fourth proportional to 653.81, 985.15 and 540.79 is: 814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.81 : 985.15 = 540.79 : x
  2. Step 2: Convert to fraction form
    653.81/985.15 = 540.79/x
  3. Step 3: Cross multiply
    653.81x = 985.15 × 540.79
  4. Step 4: Simplify right side
    653.81x = 532,756.56
  5. Step 5: Solve for x
    x = 532,756.56/653.81
  6. Step 6: Final answer
    x = 814.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.