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Finding the Fourth Proportional to 697.15, 1,044.05 and 404.03

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Solution

The fourth proportional to 697.15, 1,044.05 and 404.03 is: 605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.15 : 1,044.05 = 404.03 : x
  2. Step 2: Convert to fraction form
    697.15/1,044.05 = 404.03/x
  3. Step 3: Cross multiply
    697.15x = 1,044.05 × 404.03
  4. Step 4: Simplify right side
    697.15x = 421,823.31
  5. Step 5: Solve for x
    x = 421,823.31/697.15
  6. Step 6: Final answer
    x = 605.07

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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.