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Finding the Fourth Proportional to 685.93, 1,029.30 and 253.39

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Solution

The fourth proportional to 685.93, 1,029.30 and 253.39 is: 380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.93 : 1,029.30 = 253.39 : x
  2. Step 2: Convert to fraction form
    685.93/1,029.30 = 253.39/x
  3. Step 3: Cross multiply
    685.93x = 1,029.30 × 253.39
  4. Step 4: Simplify right side
    685.93x = 260,814.33
  5. Step 5: Solve for x
    x = 260,814.33/685.93
  6. Step 6: Final answer
    x = 380.23

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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.