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Finding the Fourth Proportional to 807.78, 1,211.64 and 294.78

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Solution

The fourth proportional to 807.78, 1,211.64 and 294.78 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.78 : 1,211.64 = 294.78 : x
  2. Step 2: Convert to fraction form
    807.78/1,211.64 = 294.78/x
  3. Step 3: Cross multiply
    807.78x = 1,211.64 × 294.78
  4. Step 4: Simplify right side
    807.78x = 357,167.24
  5. Step 5: Solve for x
    x = 357,167.24/807.78
  6. Step 6: Final answer
    x = 442.16

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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.