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Finding the Fourth Proportional to 912.43, 1,258.99 and 601.75

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Solution

The fourth proportional to 912.43, 1,258.99 and 601.75 is: 830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.43 : 1,258.99 = 601.75 : x
  2. Step 2: Convert to fraction form
    912.43/1,258.99 = 601.75/x
  3. Step 3: Cross multiply
    912.43x = 1,258.99 × 601.75
  4. Step 4: Simplify right side
    912.43x = 757,597.23
  5. Step 5: Solve for x
    x = 757,597.23/912.43
  6. Step 6: Final answer
    x = 830.31

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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.