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Finding the Fourth Proportional to 578.84, 798.05 and 421.34

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Solution

The fourth proportional to 578.84, 798.05 and 421.34 is: 580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.84 : 798.05 = 421.34 : x
  2. Step 2: Convert to fraction form
    578.84/798.05 = 421.34/x
  3. Step 3: Cross multiply
    578.84x = 798.05 × 421.34
  4. Step 4: Simplify right side
    578.84x = 336,247.45
  5. Step 5: Solve for x
    x = 336,247.45/578.84
  6. Step 6: Final answer
    x = 580.90

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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.