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Finding the Fourth Proportional to 896.66, 1,342.55 and 698.31

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Solution

The fourth proportional to 896.66, 1,342.55 and 698.31 is: 1,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.66 : 1,342.55 = 698.31 : x
  2. Step 2: Convert to fraction form
    896.66/1,342.55 = 698.31/x
  3. Step 3: Cross multiply
    896.66x = 1,342.55 × 698.31
  4. Step 4: Simplify right side
    896.66x = 937,512.60
  5. Step 5: Solve for x
    x = 937,512.60/896.66
  6. Step 6: Final answer
    x = 1,045.57

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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.