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Finding the Fourth Proportional to 686.20, 1,029.48 and 296.32

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Solution

The fourth proportional to 686.20, 1,029.48 and 296.32 is: 444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.20 : 1,029.48 = 296.32 : x
  2. Step 2: Convert to fraction form
    686.20/1,029.48 = 296.32/x
  3. Step 3: Cross multiply
    686.20x = 1,029.48 × 296.32
  4. Step 4: Simplify right side
    686.20x = 305,055.51
  5. Step 5: Solve for x
    x = 305,055.51/686.20
  6. Step 6: Final answer
    x = 444.56

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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.