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Finding the Fourth Proportional to 885.15, 1,327.86 and 307.89

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Solution

The fourth proportional to 885.15, 1,327.86 and 307.89 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.15 : 1,327.86 = 307.89 : x
  2. Step 2: Convert to fraction form
    885.15/1,327.86 = 307.89/x
  3. Step 3: Cross multiply
    885.15x = 1,327.86 × 307.89
  4. Step 4: Simplify right side
    885.15x = 408,834.82
  5. Step 5: Solve for x
    x = 408,834.82/885.15
  6. Step 6: Final answer
    x = 461.88

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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.