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Finding the Fourth Proportional to 912.10, 1,258.67 and 513.75

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Solution

The fourth proportional to 912.10, 1,258.67 and 513.75 is: 708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.10 : 1,258.67 = 513.75 : x
  2. Step 2: Convert to fraction form
    912.10/1,258.67 = 513.75/x
  3. Step 3: Cross multiply
    912.10x = 1,258.67 × 513.75
  4. Step 4: Simplify right side
    912.10x = 646,641.71
  5. Step 5: Solve for x
    x = 646,641.71/912.10
  6. Step 6: Final answer
    x = 708.96

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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.