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Finding the Fourth Proportional to 1,233.41, 1,857.35 and 889.13

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Solution

The fourth proportional to 1,233.41, 1,857.35 and 889.13 is: 1,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.41 : 1,857.35 = 889.13 : x
  2. Step 2: Convert to fraction form
    1,233.41/1,857.35 = 889.13/x
  3. Step 3: Cross multiply
    1,233.41x = 1,857.35 × 889.13
  4. Step 4: Simplify right side
    1,233.41x = 1,651,417.02
  5. Step 5: Solve for x
    x = 1,651,417.02/1,233.41
  6. Step 6: Final answer
    x = 1,338.90

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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.