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Finding the Fourth Proportional to 1,353.95, 1,869.24 and 889.01

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Solution

The fourth proportional to 1,353.95, 1,869.24 and 889.01 is: 1,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.95 : 1,869.24 = 889.01 : x
  2. Step 2: Convert to fraction form
    1,353.95/1,869.24 = 889.01/x
  3. Step 3: Cross multiply
    1,353.95x = 1,869.24 × 889.01
  4. Step 4: Simplify right side
    1,353.95x = 1,661,773.05
  5. Step 5: Solve for x
    x = 1,661,773.05/1,353.95
  6. Step 6: Final answer
    x = 1,227.35

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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.