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Finding the Fourth Proportional to 609.97, 919.52 and 558.08

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Solution

The fourth proportional to 609.97, 919.52 and 558.08 is: 841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.97 : 919.52 = 558.08 : x
  2. Step 2: Convert to fraction form
    609.97/919.52 = 558.08/x
  3. Step 3: Cross multiply
    609.97x = 919.52 × 558.08
  4. Step 4: Simplify right side
    609.97x = 513,158.33
  5. Step 5: Solve for x
    x = 513,158.33/609.97
  6. Step 6: Final answer
    x = 841.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.