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Finding the Fourth Proportional to 829.11, 1,242.50 and 655.01

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Solution

The fourth proportional to 829.11, 1,242.50 and 655.01 is: 981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.11 : 1,242.50 = 655.01 : x
  2. Step 2: Convert to fraction form
    829.11/1,242.50 = 655.01/x
  3. Step 3: Cross multiply
    829.11x = 1,242.50 × 655.01
  4. Step 4: Simplify right side
    829.11x = 813,849.93
  5. Step 5: Solve for x
    x = 813,849.93/829.11
  6. Step 6: Final answer
    x = 981.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.