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Finding the Fourth Proportional to 896.93, 1,343.91 and 457.58

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Solution

The fourth proportional to 896.93, 1,343.91 and 457.58 is: 685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.93 : 1,343.91 = 457.58 : x
  2. Step 2: Convert to fraction form
    896.93/1,343.91 = 457.58/x
  3. Step 3: Cross multiply
    896.93x = 1,343.91 × 457.58
  4. Step 4: Simplify right side
    896.93x = 614,939.62
  5. Step 5: Solve for x
    x = 614,939.62/896.93
  6. Step 6: Final answer
    x = 685.61

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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.