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Finding the Fourth Proportional to 695.13, 959.49 and 429.72

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Solution

The fourth proportional to 695.13, 959.49 and 429.72 is: 593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.13 : 959.49 = 429.72 : x
  2. Step 2: Convert to fraction form
    695.13/959.49 = 429.72/x
  3. Step 3: Cross multiply
    695.13x = 959.49 × 429.72
  4. Step 4: Simplify right side
    695.13x = 412,312.04
  5. Step 5: Solve for x
    x = 412,312.04/695.13
  6. Step 6: Final answer
    x = 593.14

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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.