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Finding the Fourth Proportional to 865.18, 1,298.13 and 454.68

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Solution

The fourth proportional to 865.18, 1,298.13 and 454.68 is: 682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.18 : 1,298.13 = 454.68 : x
  2. Step 2: Convert to fraction form
    865.18/1,298.13 = 454.68/x
  3. Step 3: Cross multiply
    865.18x = 1,298.13 × 454.68
  4. Step 4: Simplify right side
    865.18x = 590,232.04
  5. Step 5: Solve for x
    x = 590,232.04/865.18
  6. Step 6: Final answer
    x = 682.21

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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.