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Finding the Fourth Proportional to 865.17, 1,296.87 and 345.03

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Solution

The fourth proportional to 865.17, 1,296.87 and 345.03 is: 517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.17 : 1,296.87 = 345.03 : x
  2. Step 2: Convert to fraction form
    865.17/1,296.87 = 345.03/x
  3. Step 3: Cross multiply
    865.17x = 1,296.87 × 345.03
  4. Step 4: Simplify right side
    865.17x = 447,459.06
  5. Step 5: Solve for x
    x = 447,459.06/865.17
  6. Step 6: Final answer
    x = 517.19

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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.