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Finding the Fourth Proportional to 690.93, 1,036.24 and 397.81

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Solution

The fourth proportional to 690.93, 1,036.24 and 397.81 is: 596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 1,036.24 = 397.81 : x
  2. Step 2: Convert to fraction form
    690.93/1,036.24 = 397.81/x
  3. Step 3: Cross multiply
    690.93x = 1,036.24 × 397.81
  4. Step 4: Simplify right side
    690.93x = 412,219.46
  5. Step 5: Solve for x
    x = 412,219.46/690.93
  6. Step 6: Final answer
    x = 596.62

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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.