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Finding the Fourth Proportional to 1,178.35, 1,625.97 and 654.35

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Solution

The fourth proportional to 1,178.35, 1,625.97 and 654.35 is: 902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.35 : 1,625.97 = 654.35 : x
  2. Step 2: Convert to fraction form
    1,178.35/1,625.97 = 654.35/x
  3. Step 3: Cross multiply
    1,178.35x = 1,625.97 × 654.35
  4. Step 4: Simplify right side
    1,178.35x = 1,063,947.79
  5. Step 5: Solve for x
    x = 1,063,947.79/1,178.35
  6. Step 6: Final answer
    x = 902.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.