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Finding the Fourth Proportional to 864.45, 1,296.77 and 309.29

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Solution

The fourth proportional to 864.45, 1,296.77 and 309.29 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.45 : 1,296.77 = 309.29 : x
  2. Step 2: Convert to fraction form
    864.45/1,296.77 = 309.29/x
  3. Step 3: Cross multiply
    864.45x = 1,296.77 × 309.29
  4. Step 4: Simplify right side
    864.45x = 401,077.99
  5. Step 5: Solve for x
    x = 401,077.99/864.45
  6. Step 6: Final answer
    x = 463.97

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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.