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Finding the Fourth Proportional to 885.96, 1,327.75 and 496.08

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Solution

The fourth proportional to 885.96, 1,327.75 and 496.08 is: 743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.96 : 1,327.75 = 496.08 : x
  2. Step 2: Convert to fraction form
    885.96/1,327.75 = 496.08/x
  3. Step 3: Cross multiply
    885.96x = 1,327.75 × 496.08
  4. Step 4: Simplify right side
    885.96x = 658,670.22
  5. Step 5: Solve for x
    x = 658,670.22/885.96
  6. Step 6: Final answer
    x = 743.45

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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.