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Finding the Fourth Proportional to 913.30, 1,258.77 and 618.46

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Solution

The fourth proportional to 913.30, 1,258.77 and 618.46 is: 852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.30 : 1,258.77 = 618.46 : x
  2. Step 2: Convert to fraction form
    913.30/1,258.77 = 618.46/x
  3. Step 3: Cross multiply
    913.30x = 1,258.77 × 618.46
  4. Step 4: Simplify right side
    913.30x = 778,498.89
  5. Step 5: Solve for x
    x = 778,498.89/913.30
  6. Step 6: Final answer
    x = 852.40

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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.