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Finding the Fourth Proportional to 473.51, 649.27 and 426.69

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Solution

The fourth proportional to 473.51, 649.27 and 426.69 is: 585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.51 : 649.27 = 426.69 : x
  2. Step 2: Convert to fraction form
    473.51/649.27 = 426.69/x
  3. Step 3: Cross multiply
    473.51x = 649.27 × 426.69
  4. Step 4: Simplify right side
    473.51x = 277,036.98
  5. Step 5: Solve for x
    x = 277,036.98/473.51
  6. Step 6: Final answer
    x = 585.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.