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Finding the Fourth Proportional to 841.80, 1,262.85 and 286.55

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Solution

The fourth proportional to 841.80, 1,262.85 and 286.55 is: 429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.80 : 1,262.85 = 286.55 : x
  2. Step 2: Convert to fraction form
    841.80/1,262.85 = 286.55/x
  3. Step 3: Cross multiply
    841.80x = 1,262.85 × 286.55
  4. Step 4: Simplify right side
    841.80x = 361,875.73
  5. Step 5: Solve for x
    x = 361,875.73/841.80
  6. Step 6: Final answer
    x = 429.88

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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.