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Finding the Fourth Proportional to 912.30, 1,258.74 and 581.16

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Solution

The fourth proportional to 912.30, 1,258.74 and 581.16 is: 801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.30 : 1,258.74 = 581.16 : x
  2. Step 2: Convert to fraction form
    912.30/1,258.74 = 581.16/x
  3. Step 3: Cross multiply
    912.30x = 1,258.74 × 581.16
  4. Step 4: Simplify right side
    912.30x = 731,529.34
  5. Step 5: Solve for x
    x = 731,529.34/912.30
  6. Step 6: Final answer
    x = 801.85

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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.