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Finding the Fourth Proportional to 558.69, 838.13 and 456.90

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Solution

The fourth proportional to 558.69, 838.13 and 456.90 is: 685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.69 : 838.13 = 456.90 : x
  2. Step 2: Convert to fraction form
    558.69/838.13 = 456.90/x
  3. Step 3: Cross multiply
    558.69x = 838.13 × 456.90
  4. Step 4: Simplify right side
    558.69x = 382,939.31
  5. Step 5: Solve for x
    x = 382,939.31/558.69
  6. Step 6: Final answer
    x = 685.42

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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.