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Finding the Fourth Proportional to 693.68, 1,039.23 and 617.45

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Solution

The fourth proportional to 693.68, 1,039.23 and 617.45 is: 925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.68 : 1,039.23 = 617.45 : x
  2. Step 2: Convert to fraction form
    693.68/1,039.23 = 617.45/x
  3. Step 3: Cross multiply
    693.68x = 1,039.23 × 617.45
  4. Step 4: Simplify right side
    693.68x = 641,667.37
  5. Step 5: Solve for x
    x = 641,667.37/693.68
  6. Step 6: Final answer
    x = 925.03

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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.