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Finding the Fourth Proportional to 549.74, 758.99 and 423.47

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Solution

The fourth proportional to 549.74, 758.99 and 423.47 is: 584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.74 : 758.99 = 423.47 : x
  2. Step 2: Convert to fraction form
    549.74/758.99 = 423.47/x
  3. Step 3: Cross multiply
    549.74x = 758.99 × 423.47
  4. Step 4: Simplify right side
    549.74x = 321,412.45
  5. Step 5: Solve for x
    x = 321,412.45/549.74
  6. Step 6: Final answer
    x = 584.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.