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Finding the Fourth Proportional to 865.01, 1,296.88 and 309.58

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Solution

The fourth proportional to 865.01, 1,296.88 and 309.58 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.01 : 1,296.88 = 309.58 : x
  2. Step 2: Convert to fraction form
    865.01/1,296.88 = 309.58/x
  3. Step 3: Cross multiply
    865.01x = 1,296.88 × 309.58
  4. Step 4: Simplify right side
    865.01x = 401,488.11
  5. Step 5: Solve for x
    x = 401,488.11/865.01
  6. Step 6: Final answer
    x = 464.14

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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.