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Finding the Fourth Proportional to 649.13, 971.26 and 404.51

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Solution

The fourth proportional to 649.13, 971.26 and 404.51 is: 605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.13 : 971.26 = 404.51 : x
  2. Step 2: Convert to fraction form
    649.13/971.26 = 404.51/x
  3. Step 3: Cross multiply
    649.13x = 971.26 × 404.51
  4. Step 4: Simplify right side
    649.13x = 392,878.52
  5. Step 5: Solve for x
    x = 392,878.52/649.13
  6. Step 6: Final answer
    x = 605.24

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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.