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Finding the Fourth Proportional to 865.06, 1,296.36 and 432.52

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Solution

The fourth proportional to 865.06, 1,296.36 and 432.52 is: 648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.06 : 1,296.36 = 432.52 : x
  2. Step 2: Convert to fraction form
    865.06/1,296.36 = 432.52/x
  3. Step 3: Cross multiply
    865.06x = 1,296.36 × 432.52
  4. Step 4: Simplify right side
    865.06x = 560,701.63
  5. Step 5: Solve for x
    x = 560,701.63/865.06
  6. Step 6: Final answer
    x = 648.17

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Double scale
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1.5x scale

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.