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Finding the Fourth Proportional to 913.71, 1,258.38 and 866.77

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Solution

The fourth proportional to 913.71, 1,258.38 and 866.77 is: 1,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.71 : 1,258.38 = 866.77 : x
  2. Step 2: Convert to fraction form
    913.71/1,258.38 = 866.77/x
  3. Step 3: Cross multiply
    913.71x = 1,258.38 × 866.77
  4. Step 4: Simplify right side
    913.71x = 1,090,726.03
  5. Step 5: Solve for x
    x = 1,090,726.03/913.71
  6. Step 6: Final answer
    x = 1,193.73

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1.5x scale

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.