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Finding the Fourth Proportional to 913.16, 1,258.91 and 689.00

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Solution

The fourth proportional to 913.16, 1,258.91 and 689.00 is: 949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.16 : 1,258.91 = 689.00 : x
  2. Step 2: Convert to fraction form
    913.16/1,258.91 = 689.00/x
  3. Step 3: Cross multiply
    913.16x = 1,258.91 × 689.00
  4. Step 4: Simplify right side
    913.16x = 867,379.25
  5. Step 5: Solve for x
    x = 867,379.25/913.16
  6. Step 6: Final answer
    x = 949.87

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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.