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Finding the Fourth Proportional to 910.61, 1,257.30 and 821.92

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Solution

The fourth proportional to 910.61, 1,257.30 and 821.92 is: 1,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.61 : 1,257.30 = 821.92 : x
  2. Step 2: Convert to fraction form
    910.61/1,257.30 = 821.92/x
  3. Step 3: Cross multiply
    910.61x = 1,257.30 × 821.92
  4. Step 4: Simplify right side
    910.61x = 1,033,389.62
  5. Step 5: Solve for x
    x = 1,033,389.62/910.61
  6. Step 6: Final answer
    x = 1,134.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.