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Finding the Fourth Proportional to 695.34, 1,044.67 and 406.98

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Solution

The fourth proportional to 695.34, 1,044.67 and 406.98 is: 611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.34 : 1,044.67 = 406.98 : x
  2. Step 2: Convert to fraction form
    695.34/1,044.67 = 406.98/x
  3. Step 3: Cross multiply
    695.34x = 1,044.67 × 406.98
  4. Step 4: Simplify right side
    695.34x = 425,159.80
  5. Step 5: Solve for x
    x = 425,159.80/695.34
  6. Step 6: Final answer
    x = 611.44

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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.