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Finding the Fourth Proportional to 529.70, 793.20 and 420.80

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Solution

The fourth proportional to 529.70, 793.20 and 420.80 is: 630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.70 : 793.20 = 420.80 : x
  2. Step 2: Convert to fraction form
    529.70/793.20 = 420.80/x
  3. Step 3: Cross multiply
    529.70x = 793.20 × 420.80
  4. Step 4: Simplify right side
    529.70x = 333,778.56
  5. Step 5: Solve for x
    x = 333,778.56/529.70
  6. Step 6: Final answer
    x = 630.13

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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.