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Finding the Fourth Proportional to 864.26, 1,296.61 and 287.12

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Solution

The fourth proportional to 864.26, 1,296.61 and 287.12 is: 430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.26 : 1,296.61 = 287.12 : x
  2. Step 2: Convert to fraction form
    864.26/1,296.61 = 287.12/x
  3. Step 3: Cross multiply
    864.26x = 1,296.61 × 287.12
  4. Step 4: Simplify right side
    864.26x = 372,282.66
  5. Step 5: Solve for x
    x = 372,282.66/864.26
  6. Step 6: Final answer
    x = 430.75

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1.5x scale

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.