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Finding the Fourth Proportional to 895.34, 1,343.94 and 680.29

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Solution

The fourth proportional to 895.34, 1,343.94 and 680.29 is: 1,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.34 : 1,343.94 = 680.29 : x
  2. Step 2: Convert to fraction form
    895.34/1,343.94 = 680.29/x
  3. Step 3: Cross multiply
    895.34x = 1,343.94 × 680.29
  4. Step 4: Simplify right side
    895.34x = 914,268.94
  5. Step 5: Solve for x
    x = 914,268.94/895.34
  6. Step 6: Final answer
    x = 1,021.14

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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.