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Finding the Fourth Proportional to 913.49, 1,258.65 and 618.24

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Solution

The fourth proportional to 913.49, 1,258.65 and 618.24 is: 851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.49 : 1,258.65 = 618.24 : x
  2. Step 2: Convert to fraction form
    913.49/1,258.65 = 618.24/x
  3. Step 3: Cross multiply
    913.49x = 1,258.65 × 618.24
  4. Step 4: Simplify right side
    913.49x = 778,147.78
  5. Step 5: Solve for x
    x = 778,147.78/913.49
  6. Step 6: Final answer
    x = 851.85

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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.