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Finding the Fourth Proportional to 697.14, 959.04 and 585.90

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Solution

The fourth proportional to 697.14, 959.04 and 585.90 is: 806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.14 : 959.04 = 585.90 : x
  2. Step 2: Convert to fraction form
    697.14/959.04 = 585.90/x
  3. Step 3: Cross multiply
    697.14x = 959.04 × 585.90
  4. Step 4: Simplify right side
    697.14x = 561,901.54
  5. Step 5: Solve for x
    x = 561,901.54/697.14
  6. Step 6: Final answer
    x = 806.01

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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.