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Finding the Fourth Proportional to 695.27, 959.18 and 499.05

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Solution

The fourth proportional to 695.27, 959.18 and 499.05 is: 688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.27 : 959.18 = 499.05 : x
  2. Step 2: Convert to fraction form
    695.27/959.18 = 499.05/x
  3. Step 3: Cross multiply
    695.27x = 959.18 × 499.05
  4. Step 4: Simplify right side
    695.27x = 478,676.28
  5. Step 5: Solve for x
    x = 478,676.28/695.27
  6. Step 6: Final answer
    x = 688.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.