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Finding the Fourth Proportional to 690.93, 1,036.91 and 431.31

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Solution

The fourth proportional to 690.93, 1,036.91 and 431.31 is: 647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 1,036.91 = 431.31 : x
  2. Step 2: Convert to fraction form
    690.93/1,036.91 = 431.31/x
  3. Step 3: Cross multiply
    690.93x = 1,036.91 × 431.31
  4. Step 4: Simplify right side
    690.93x = 447,229.65
  5. Step 5: Solve for x
    x = 447,229.65/690.93
  6. Step 6: Final answer
    x = 647.29

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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.