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Finding the Fourth Proportional to 913.68, 1,258.92 and 782.64

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Solution

The fourth proportional to 913.68, 1,258.92 and 782.64 is: 1,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.68 : 1,258.92 = 782.64 : x
  2. Step 2: Convert to fraction form
    913.68/1,258.92 = 782.64/x
  3. Step 3: Cross multiply
    913.68x = 1,258.92 × 782.64
  4. Step 4: Simplify right side
    913.68x = 985,281.15
  5. Step 5: Solve for x
    x = 985,281.15/913.68
  6. Step 6: Final answer
    x = 1,078.37

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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.