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Finding the Fourth Proportional to 892.61, 1,336.16 and 698.18

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Solution

The fourth proportional to 892.61, 1,336.16 and 698.18 is: 1,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.61 : 1,336.16 = 698.18 : x
  2. Step 2: Convert to fraction form
    892.61/1,336.16 = 698.18/x
  3. Step 3: Cross multiply
    892.61x = 1,336.16 × 698.18
  4. Step 4: Simplify right side
    892.61x = 932,875.25
  5. Step 5: Solve for x
    x = 932,875.25/892.61
  6. Step 6: Final answer
    x = 1,045.11

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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.