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Finding the Fourth Proportional to 865.22, 1,298.14 and 540.21

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Solution

The fourth proportional to 865.22, 1,298.14 and 540.21 is: 810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.22 : 1,298.14 = 540.21 : x
  2. Step 2: Convert to fraction form
    865.22/1,298.14 = 540.21/x
  3. Step 3: Cross multiply
    865.22x = 1,298.14 × 540.21
  4. Step 4: Simplify right side
    865.22x = 701,266.86
  5. Step 5: Solve for x
    x = 701,266.86/865.22
  6. Step 6: Final answer
    x = 810.50

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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.