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Finding the Fourth Proportional to 898.92, 1,355.98 and 851.66

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Solution

The fourth proportional to 898.92, 1,355.98 and 851.66 is: 1,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.92 : 1,355.98 = 851.66 : x
  2. Step 2: Convert to fraction form
    898.92/1,355.98 = 851.66/x
  3. Step 3: Cross multiply
    898.92x = 1,355.98 × 851.66
  4. Step 4: Simplify right side
    898.92x = 1,154,823.95
  5. Step 5: Solve for x
    x = 1,154,823.95/898.92
  6. Step 6: Final answer
    x = 1,284.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.