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Finding the Fourth Proportional to 864.76, 1,296.86 and 287.50

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Solution

The fourth proportional to 864.76, 1,296.86 and 287.50 is: 431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.76 : 1,296.86 = 287.50 : x
  2. Step 2: Convert to fraction form
    864.76/1,296.86 = 287.50/x
  3. Step 3: Cross multiply
    864.76x = 1,296.86 × 287.50
  4. Step 4: Simplify right side
    864.76x = 372,847.25
  5. Step 5: Solve for x
    x = 372,847.25/864.76
  6. Step 6: Final answer
    x = 431.16

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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.