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Finding the Fourth Proportional to 473.09, 709.83 and 432.18

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Solution

The fourth proportional to 473.09, 709.83 and 432.18 is: 648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.09 : 709.83 = 432.18 : x
  2. Step 2: Convert to fraction form
    473.09/709.83 = 432.18/x
  3. Step 3: Cross multiply
    473.09x = 709.83 × 432.18
  4. Step 4: Simplify right side
    473.09x = 306,774.33
  5. Step 5: Solve for x
    x = 306,774.33/473.09
  6. Step 6: Final answer
    x = 648.45

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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.