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Finding the Fourth Proportional to 841.73, 1,262.77 and 354.78

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Solution

The fourth proportional to 841.73, 1,262.77 and 354.78 is: 532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.73 : 1,262.77 = 354.78 : x
  2. Step 2: Convert to fraction form
    841.73/1,262.77 = 354.78/x
  3. Step 3: Cross multiply
    841.73x = 1,262.77 × 354.78
  4. Step 4: Simplify right side
    841.73x = 448,008.70
  5. Step 5: Solve for x
    x = 448,008.70/841.73
  6. Step 6: Final answer
    x = 532.25

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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.