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Finding the Fourth Proportional to 912.61, 1,258.27 and 779.59

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Solution

The fourth proportional to 912.61, 1,258.27 and 779.59 is: 1,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.61 : 1,258.27 = 779.59 : x
  2. Step 2: Convert to fraction form
    912.61/1,258.27 = 779.59/x
  3. Step 3: Cross multiply
    912.61x = 1,258.27 × 779.59
  4. Step 4: Simplify right side
    912.61x = 980,934.71
  5. Step 5: Solve for x
    x = 980,934.71/912.61
  6. Step 6: Final answer
    x = 1,074.87

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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.