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Finding the Fourth Proportional to 695.66, 1,043.89 and 284.78

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Solution

The fourth proportional to 695.66, 1,043.89 and 284.78 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 1,043.89 = 284.78 : x
  2. Step 2: Convert to fraction form
    695.66/1,043.89 = 284.78/x
  3. Step 3: Cross multiply
    695.66x = 1,043.89 × 284.78
  4. Step 4: Simplify right side
    695.66x = 297,280.89
  5. Step 5: Solve for x
    x = 297,280.89/695.66
  6. Step 6: Final answer
    x = 427.34

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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.