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Finding the Fourth Proportional to 648.10, 969.87 and 404.74

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Solution

The fourth proportional to 648.10, 969.87 and 404.74 is: 605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 969.87 = 404.74 : x
  2. Step 2: Convert to fraction form
    648.10/969.87 = 404.74/x
  3. Step 3: Cross multiply
    648.10x = 969.87 × 404.74
  4. Step 4: Simplify right side
    648.10x = 392,545.18
  5. Step 5: Solve for x
    x = 392,545.18/648.10
  6. Step 6: Final answer
    x = 605.69

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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.