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Finding the Fourth Proportional to 529.20, 729.95 and 418.50

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Solution

The fourth proportional to 529.20, 729.95 and 418.50 is: 577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.20 : 729.95 = 418.50 : x
  2. Step 2: Convert to fraction form
    529.20/729.95 = 418.50/x
  3. Step 3: Cross multiply
    529.20x = 729.95 × 418.50
  4. Step 4: Simplify right side
    529.20x = 305,481.98
  5. Step 5: Solve for x
    x = 305,481.98/529.20
  6. Step 6: Final answer
    x = 577.25

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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.