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Finding the Fourth Proportional to 865.25, 1,192.60 and 612.84

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Solution

The fourth proportional to 865.25, 1,192.60 and 612.84 is: 844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.25 : 1,192.60 = 612.84 : x
  2. Step 2: Convert to fraction form
    865.25/1,192.60 = 612.84/x
  3. Step 3: Cross multiply
    865.25x = 1,192.60 × 612.84
  4. Step 4: Simplify right side
    865.25x = 730,878.22
  5. Step 5: Solve for x
    x = 730,878.22/865.25
  6. Step 6: Final answer
    x = 844.70

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1.5x scale

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.