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Finding the Fourth Proportional to 558, 838.90 and 456.03

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Solution

The fourth proportional to 558, 838.90 and 456.03 is: 685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    558 : 838.90 = 456.03 : x
  2. Step 2: Convert to fraction form
    558/838.90 = 456.03/x
  3. Step 3: Cross multiply
    558x = 838.90 × 456.03
  4. Step 4: Simplify right side
    558x = 382,563.57
  5. Step 5: Solve for x
    x = 382,563.57/558
  6. Step 6: Final answer
    x = 685.60

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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.