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Finding the Fourth Proportional to 885.41, 1,328.12 and 307.88

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Solution

The fourth proportional to 885.41, 1,328.12 and 307.88 is: 461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.41 : 1,328.12 = 307.88 : x
  2. Step 2: Convert to fraction form
    885.41/1,328.12 = 307.88/x
  3. Step 3: Cross multiply
    885.41x = 1,328.12 × 307.88
  4. Step 4: Simplify right side
    885.41x = 408,893.41
  5. Step 5: Solve for x
    x = 408,893.41/885.41
  6. Step 6: Final answer
    x = 461.82

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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.