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Finding the Fourth Proportional to 890.12, 1,341.95 and 837.27

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Solution

The fourth proportional to 890.12, 1,341.95 and 837.27 is: 1,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.12 : 1,341.95 = 837.27 : x
  2. Step 2: Convert to fraction form
    890.12/1,341.95 = 837.27/x
  3. Step 3: Cross multiply
    890.12x = 1,341.95 × 837.27
  4. Step 4: Simplify right side
    890.12x = 1,123,570.29
  5. Step 5: Solve for x
    x = 1,123,570.29/890.12
  6. Step 6: Final answer
    x = 1,262.28

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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.