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Finding the Fourth Proportional to 1,062.41, 1,593.50 and 331.98

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Solution

The fourth proportional to 1,062.41, 1,593.50 and 331.98 is: 497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.41 : 1,593.50 = 331.98 : x
  2. Step 2: Convert to fraction form
    1,062.41/1,593.50 = 331.98/x
  3. Step 3: Cross multiply
    1,062.41x = 1,593.50 × 331.98
  4. Step 4: Simplify right side
    1,062.41x = 529,008.47
  5. Step 5: Solve for x
    x = 529,008.47/1,062.41
  6. Step 6: Final answer
    x = 497.93

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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.