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Finding the Fourth Proportional to 685.93, 1,029.05 and 253.08

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Solution

The fourth proportional to 685.93, 1,029.05 and 253.08 is: 379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.93 : 1,029.05 = 253.08 : x
  2. Step 2: Convert to fraction form
    685.93/1,029.05 = 253.08/x
  3. Step 3: Cross multiply
    685.93x = 1,029.05 × 253.08
  4. Step 4: Simplify right side
    685.93x = 260,431.97
  5. Step 5: Solve for x
    x = 260,431.97/685.93
  6. Step 6: Final answer
    x = 379.68

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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.