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Finding the Fourth Proportional to 896.93, 1,345.88 and 349.13

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Solution

The fourth proportional to 896.93, 1,345.88 and 349.13 is: 523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.93 : 1,345.88 = 349.13 : x
  2. Step 2: Convert to fraction form
    896.93/1,345.88 = 349.13/x
  3. Step 3: Cross multiply
    896.93x = 1,345.88 × 349.13
  4. Step 4: Simplify right side
    896.93x = 469,891.32
  5. Step 5: Solve for x
    x = 469,891.32/896.93
  6. Step 6: Final answer
    x = 523.89

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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.