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Finding the Fourth Proportional to 829.47, 1,244.61 and 342.93

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Solution

The fourth proportional to 829.47, 1,244.61 and 342.93 is: 514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.47 : 1,244.61 = 342.93 : x
  2. Step 2: Convert to fraction form
    829.47/1,244.61 = 342.93/x
  3. Step 3: Cross multiply
    829.47x = 1,244.61 × 342.93
  4. Step 4: Simplify right side
    829.47x = 426,814.11
  5. Step 5: Solve for x
    x = 426,814.11/829.47
  6. Step 6: Final answer
    x = 514.56

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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.