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Finding the Fourth Proportional to 865.31, 1,194.08 and 511.25

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Solution

The fourth proportional to 865.31, 1,194.08 and 511.25 is: 705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.31 : 1,194.08 = 511.25 : x
  2. Step 2: Convert to fraction form
    865.31/1,194.08 = 511.25/x
  3. Step 3: Cross multiply
    865.31x = 1,194.08 × 511.25
  4. Step 4: Simplify right side
    865.31x = 610,464.87
  5. Step 5: Solve for x
    x = 610,464.87/865.31
  6. Step 6: Final answer
    x = 705.49

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Double scale
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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.