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Finding the Fourth Proportional to 912.40, 1,258.06 and 892.28

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Solution

The fourth proportional to 912.40, 1,258.06 and 892.28 is: 1,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.40 : 1,258.06 = 892.28 : x
  2. Step 2: Convert to fraction form
    912.40/1,258.06 = 892.28/x
  3. Step 3: Cross multiply
    912.40x = 1,258.06 × 892.28
  4. Step 4: Simplify right side
    912.40x = 1,122,541.78
  5. Step 5: Solve for x
    x = 1,122,541.78/912.40
  6. Step 6: Final answer
    x = 1,230.32

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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.