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Finding the Fourth Proportional to 685.99, 1,029.12 and 253.18

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Solution

The fourth proportional to 685.99, 1,029.12 and 253.18 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.99 : 1,029.12 = 253.18 : x
  2. Step 2: Convert to fraction form
    685.99/1,029.12 = 253.18/x
  3. Step 3: Cross multiply
    685.99x = 1,029.12 × 253.18
  4. Step 4: Simplify right side
    685.99x = 260,552.60
  5. Step 5: Solve for x
    x = 260,552.60/685.99
  6. Step 6: Final answer
    x = 379.82

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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.