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Finding the Fourth Proportional to 693.99, 1,039.26 and 433.17

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Solution

The fourth proportional to 693.99, 1,039.26 and 433.17 is: 648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.99 : 1,039.26 = 433.17 : x
  2. Step 2: Convert to fraction form
    693.99/1,039.26 = 433.17/x
  3. Step 3: Cross multiply
    693.99x = 1,039.26 × 433.17
  4. Step 4: Simplify right side
    693.99x = 450,176.25
  5. Step 5: Solve for x
    x = 450,176.25/693.99
  6. Step 6: Final answer
    x = 648.68

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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.