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Finding the Fourth Proportional to 912.40, 1,374.04 and 826.72

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Solution

The fourth proportional to 912.40, 1,374.04 and 826.72 is: 1,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.40 : 1,374.04 = 826.72 : x
  2. Step 2: Convert to fraction form
    912.40/1,374.04 = 826.72/x
  3. Step 3: Cross multiply
    912.40x = 1,374.04 × 826.72
  4. Step 4: Simplify right side
    912.40x = 1,135,946.35
  5. Step 5: Solve for x
    x = 1,135,946.35/912.40
  6. Step 6: Final answer
    x = 1,245.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.