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Finding the Fourth Proportional to 578.22, 798.12 and 420.87

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Solution

The fourth proportional to 578.22, 798.12 and 420.87 is: 580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 798.12 = 420.87 : x
  2. Step 2: Convert to fraction form
    578.22/798.12 = 420.87/x
  3. Step 3: Cross multiply
    578.22x = 798.12 × 420.87
  4. Step 4: Simplify right side
    578.22x = 335,904.76
  5. Step 5: Solve for x
    x = 335,904.76/578.22
  6. Step 6: Final answer
    x = 580.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.