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Finding the Fourth Proportional to 686.96, 1,030.21 and 296.95

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Solution

The fourth proportional to 686.96, 1,030.21 and 296.95 is: 445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.96 : 1,030.21 = 296.95 : x
  2. Step 2: Convert to fraction form
    686.96/1,030.21 = 296.95/x
  3. Step 3: Cross multiply
    686.96x = 1,030.21 × 296.95
  4. Step 4: Simplify right side
    686.96x = 305,917.54
  5. Step 5: Solve for x
    x = 305,917.54/686.96
  6. Step 6: Final answer
    x = 445.32

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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.