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Finding the Fourth Proportional to 558.19, 837.62 and 284.31

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Solution

The fourth proportional to 558.19, 837.62 and 284.31 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.19 : 837.62 = 284.31 : x
  2. Step 2: Convert to fraction form
    558.19/837.62 = 284.31/x
  3. Step 3: Cross multiply
    558.19x = 837.62 × 284.31
  4. Step 4: Simplify right side
    558.19x = 238,144.99
  5. Step 5: Solve for x
    x = 238,144.99/558.19
  6. Step 6: Final answer
    x = 426.64

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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.