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Finding the Fourth Proportional to 690.71, 1,033.79 and 417.33

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Solution

The fourth proportional to 690.71, 1,033.79 and 417.33 is: 624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.71 : 1,033.79 = 417.33 : x
  2. Step 2: Convert to fraction form
    690.71/1,033.79 = 417.33/x
  3. Step 3: Cross multiply
    690.71x = 1,033.79 × 417.33
  4. Step 4: Simplify right side
    690.71x = 431,429.49
  5. Step 5: Solve for x
    x = 431,429.49/690.71
  6. Step 6: Final answer
    x = 624.62

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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.