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Finding the Fourth Proportional to 690.77, 1,036.31 and 383.07

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Solution

The fourth proportional to 690.77, 1,036.31 and 383.07 is: 574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.77 : 1,036.31 = 383.07 : x
  2. Step 2: Convert to fraction form
    690.77/1,036.31 = 383.07/x
  3. Step 3: Cross multiply
    690.77x = 1,036.31 × 383.07
  4. Step 4: Simplify right side
    690.77x = 396,979.27
  5. Step 5: Solve for x
    x = 396,979.27/690.77
  6. Step 6: Final answer
    x = 574.69

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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.