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Finding the Fourth Proportional to 693.05, 1,038.62 and 404.69

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Solution

The fourth proportional to 693.05, 1,038.62 and 404.69 is: 606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.05 : 1,038.62 = 404.69 : x
  2. Step 2: Convert to fraction form
    693.05/1,038.62 = 404.69/x
  3. Step 3: Cross multiply
    693.05x = 1,038.62 × 404.69
  4. Step 4: Simplify right side
    693.05x = 420,314.95
  5. Step 5: Solve for x
    x = 420,314.95/693.05
  6. Step 6: Final answer
    x = 606.48

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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.