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Finding the Fourth Proportional to 912.20, 1,368.30 and 896.20

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Solution

The fourth proportional to 912.20, 1,368.30 and 896.20 is: 1,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.20 : 1,368.30 = 896.20 : x
  2. Step 2: Convert to fraction form
    912.20/1,368.30 = 896.20/x
  3. Step 3: Cross multiply
    912.20x = 1,368.30 × 896.20
  4. Step 4: Simplify right side
    912.20x = 1,226,270.46
  5. Step 5: Solve for x
    x = 1,226,270.46/912.20
  6. Step 6: Final answer
    x = 1,344.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.