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Finding the Fourth Proportional to 686.25, 1,028.65 and 296.16

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Solution

The fourth proportional to 686.25, 1,028.65 and 296.16 is: 443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 1,028.65 = 296.16 : x
  2. Step 2: Convert to fraction form
    686.25/1,028.65 = 296.16/x
  3. Step 3: Cross multiply
    686.25x = 1,028.65 × 296.16
  4. Step 4: Simplify right side
    686.25x = 304,644.98
  5. Step 5: Solve for x
    x = 304,644.98/686.25
  6. Step 6: Final answer
    x = 443.93

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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.