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Finding the Fourth Proportional to 890.77, 1,341.10 and 696.82

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Solution

The fourth proportional to 890.77, 1,341.10 and 696.82 is: 1,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.77 : 1,341.10 = 696.82 : x
  2. Step 2: Convert to fraction form
    890.77/1,341.10 = 696.82/x
  3. Step 3: Cross multiply
    890.77x = 1,341.10 × 696.82
  4. Step 4: Simplify right side
    890.77x = 934,505.30
  5. Step 5: Solve for x
    x = 934,505.30/890.77
  6. Step 6: Final answer
    x = 1,049.10

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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.