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Finding the Fourth Proportional to 912.61, 1,259.78 and 617.97

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Solution

The fourth proportional to 912.61, 1,259.78 and 617.97 is: 853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.61 : 1,259.78 = 617.97 : x
  2. Step 2: Convert to fraction form
    912.61/1,259.78 = 617.97/x
  3. Step 3: Cross multiply
    912.61x = 1,259.78 × 617.97
  4. Step 4: Simplify right side
    912.61x = 778,506.25
  5. Step 5: Solve for x
    x = 778,506.25/912.61
  6. Step 6: Final answer
    x = 853.05

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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.