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Finding the Fourth Proportional to 830.43, 1,242.71 and 610.54

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Solution

The fourth proportional to 830.43, 1,242.71 and 610.54 is: 913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.43 : 1,242.71 = 610.54 : x
  2. Step 2: Convert to fraction form
    830.43/1,242.71 = 610.54/x
  3. Step 3: Cross multiply
    830.43x = 1,242.71 × 610.54
  4. Step 4: Simplify right side
    830.43x = 758,724.16
  5. Step 5: Solve for x
    x = 758,724.16/830.43
  6. Step 6: Final answer
    x = 913.65

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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.