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Finding the Fourth Proportional to 686.24, 1,029.36 and 444.32

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Solution

The fourth proportional to 686.24, 1,029.36 and 444.32 is: 666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.24 : 1,029.36 = 444.32 : x
  2. Step 2: Convert to fraction form
    686.24/1,029.36 = 444.32/x
  3. Step 3: Cross multiply
    686.24x = 1,029.36 × 444.32
  4. Step 4: Simplify right side
    686.24x = 457,365.24
  5. Step 5: Solve for x
    x = 457,365.24/686.24
  6. Step 6: Final answer
    x = 666.48

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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.