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Finding the Fourth Proportional to 686.30, 1,029.58 and 253.44

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Solution

The fourth proportional to 686.30, 1,029.58 and 253.44 is: 380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.30 : 1,029.58 = 253.44 : x
  2. Step 2: Convert to fraction form
    686.30/1,029.58 = 253.44/x
  3. Step 3: Cross multiply
    686.30x = 1,029.58 × 253.44
  4. Step 4: Simplify right side
    686.30x = 260,936.76
  5. Step 5: Solve for x
    x = 260,936.76/686.30
  6. Step 6: Final answer
    x = 380.21

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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.