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Finding the Fourth Proportional to 894.82, 1,342.23 and 375.06

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Solution

The fourth proportional to 894.82, 1,342.23 and 375.06 is: 562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.82 : 1,342.23 = 375.06 : x
  2. Step 2: Convert to fraction form
    894.82/1,342.23 = 375.06/x
  3. Step 3: Cross multiply
    894.82x = 1,342.23 × 375.06
  4. Step 4: Simplify right side
    894.82x = 503,416.78
  5. Step 5: Solve for x
    x = 503,416.78/894.82
  6. Step 6: Final answer
    x = 562.59

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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.