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Finding the Fourth Proportional to 558.95, 838.60 and 402.64

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Solution

The fourth proportional to 558.95, 838.60 and 402.64 is: 604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.95 : 838.60 = 402.64 : x
  2. Step 2: Convert to fraction form
    558.95/838.60 = 402.64/x
  3. Step 3: Cross multiply
    558.95x = 838.60 × 402.64
  4. Step 4: Simplify right side
    558.95x = 337,653.90
  5. Step 5: Solve for x
    x = 337,653.90/558.95
  6. Step 6: Final answer
    x = 604.09

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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.