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Finding the Fourth Proportional to 558.22, 840.70 and 490.58

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Solution

The fourth proportional to 558.22, 840.70 and 490.58 is: 738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.22 : 840.70 = 490.58 : x
  2. Step 2: Convert to fraction form
    558.22/840.70 = 490.58/x
  3. Step 3: Cross multiply
    558.22x = 840.70 × 490.58
  4. Step 4: Simplify right side
    558.22x = 412,430.61
  5. Step 5: Solve for x
    x = 412,430.61/558.22
  6. Step 6: Final answer
    x = 738.83

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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.