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Finding the Fourth Proportional to 912.50, 1,258.80 and 576.25

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Solution

The fourth proportional to 912.50, 1,258.80 and 576.25 is: 794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.50 : 1,258.80 = 576.25 : x
  2. Step 2: Convert to fraction form
    912.50/1,258.80 = 576.25/x
  3. Step 3: Cross multiply
    912.50x = 1,258.80 × 576.25
  4. Step 4: Simplify right side
    912.50x = 725,383.50
  5. Step 5: Solve for x
    x = 725,383.50/912.50
  6. Step 6: Final answer
    x = 794.94

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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.