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Finding the Fourth Proportional to 830.52, 1,244.91 and 418.79

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Solution

The fourth proportional to 830.52, 1,244.91 and 418.79 is: 627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.52 : 1,244.91 = 418.79 : x
  2. Step 2: Convert to fraction form
    830.52/1,244.91 = 418.79/x
  3. Step 3: Cross multiply
    830.52x = 1,244.91 × 418.79
  4. Step 4: Simplify right side
    830.52x = 521,360.54
  5. Step 5: Solve for x
    x = 521,360.54/830.52
  6. Step 6: Final answer
    x = 627.75

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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.