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Finding the Fourth Proportional to 865.71, 1,298.22 and 310.40

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Solution

The fourth proportional to 865.71, 1,298.22 and 310.40 is: 465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.71 : 1,298.22 = 310.40 : x
  2. Step 2: Convert to fraction form
    865.71/1,298.22 = 310.40/x
  3. Step 3: Cross multiply
    865.71x = 1,298.22 × 310.40
  4. Step 4: Simplify right side
    865.71x = 402,961.00
  5. Step 5: Solve for x
    x = 402,961.00/865.71
  6. Step 6: Final answer
    x = 465.47

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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.