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Finding the Fourth Proportional to 511.10, 766.85 and 294.63

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Solution

The fourth proportional to 511.10, 766.85 and 294.63 is: 442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 766.85 = 294.63 : x
  2. Step 2: Convert to fraction form
    511.10/766.85 = 294.63/x
  3. Step 3: Cross multiply
    511.10x = 766.85 × 294.63
  4. Step 4: Simplify right side
    511.10x = 225,937.02
  5. Step 5: Solve for x
    x = 225,937.02/511.10
  6. Step 6: Final answer
    x = 442.06

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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.