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Finding the Fourth Proportional to 866.25, 1,298.97 and 288.72

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Solution

The fourth proportional to 866.25, 1,298.97 and 288.72 is: 432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.25 : 1,298.97 = 288.72 : x
  2. Step 2: Convert to fraction form
    866.25/1,298.97 = 288.72/x
  3. Step 3: Cross multiply
    866.25x = 1,298.97 × 288.72
  4. Step 4: Simplify right side
    866.25x = 375,038.62
  5. Step 5: Solve for x
    x = 375,038.62/866.25
  6. Step 6: Final answer
    x = 432.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.