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Finding the Fourth Proportional to 864.74, 1,296.98 and 287.60

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Solution

The fourth proportional to 864.74, 1,296.98 and 287.60 is: 431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.74 : 1,296.98 = 287.60 : x
  2. Step 2: Convert to fraction form
    864.74/1,296.98 = 287.60/x
  3. Step 3: Cross multiply
    864.74x = 1,296.98 × 287.60
  4. Step 4: Simplify right side
    864.74x = 373,011.45
  5. Step 5: Solve for x
    x = 373,011.45/864.74
  6. Step 6: Final answer
    x = 431.36

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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.