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Finding the Fourth Proportional to 688.93, 1,032.79 and 255.78

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Solution

The fourth proportional to 688.93, 1,032.79 and 255.78 is: 383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.93 : 1,032.79 = 255.78 : x
  2. Step 2: Convert to fraction form
    688.93/1,032.79 = 255.78/x
  3. Step 3: Cross multiply
    688.93x = 1,032.79 × 255.78
  4. Step 4: Simplify right side
    688.93x = 264,167.04
  5. Step 5: Solve for x
    x = 264,167.04/688.93
  6. Step 6: Final answer
    x = 383.45

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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.