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Finding the Fourth Proportional to 558.89, 838.72 and 412.99

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Solution

The fourth proportional to 558.89, 838.72 and 412.99 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.89 : 838.72 = 412.99 : x
  2. Step 2: Convert to fraction form
    558.89/838.72 = 412.99/x
  3. Step 3: Cross multiply
    558.89x = 838.72 × 412.99
  4. Step 4: Simplify right side
    558.89x = 346,382.97
  5. Step 5: Solve for x
    x = 346,382.97/558.89
  6. Step 6: Final answer
    x = 619.77

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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.