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Finding the Fourth Proportional to 529.80, 742.80 and 529.80

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Solution

The fourth proportional to 529.80, 742.80 and 529.80 is: 742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.80 : 742.80 = 529.80 : x
  2. Step 2: Convert to fraction form
    529.80/742.80 = 529.80/x
  3. Step 3: Cross multiply
    529.80x = 742.80 × 529.80
  4. Step 4: Simplify right side
    529.80x = 393,535.44
  5. Step 5: Solve for x
    x = 393,535.44/529.80
  6. Step 6: Final answer
    x = 742.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.