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Finding the Fourth Proportional to 894.82, 1,342.14 and 374.64

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Solution

The fourth proportional to 894.82, 1,342.14 and 374.64 is: 561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.82 : 1,342.14 = 374.64 : x
  2. Step 2: Convert to fraction form
    894.82/1,342.14 = 374.64/x
  3. Step 3: Cross multiply
    894.82x = 1,342.14 × 374.64
  4. Step 4: Simplify right side
    894.82x = 502,819.33
  5. Step 5: Solve for x
    x = 502,819.33/894.82
  6. Step 6: Final answer
    x = 561.92

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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.