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Finding the Fourth Proportional to 1,353.40, 2,026.90 and 918.20

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Solution

The fourth proportional to 1,353.40, 2,026.90 and 918.20 is: 1,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.40 : 2,026.90 = 918.20 : x
  2. Step 2: Convert to fraction form
    1,353.40/2,026.90 = 918.20/x
  3. Step 3: Cross multiply
    1,353.40x = 2,026.90 × 918.20
  4. Step 4: Simplify right side
    1,353.40x = 1,861,099.58
  5. Step 5: Solve for x
    x = 1,861,099.58/1,353.40
  6. Step 6: Final answer
    x = 1,375.13

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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.