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Finding the Fourth Proportional to 529.10, 729.73 and 363.05

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Solution

The fourth proportional to 529.10, 729.73 and 363.05 is: 500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.10 : 729.73 = 363.05 : x
  2. Step 2: Convert to fraction form
    529.10/729.73 = 363.05/x
  3. Step 3: Cross multiply
    529.10x = 729.73 × 363.05
  4. Step 4: Simplify right side
    529.10x = 264,928.48
  5. Step 5: Solve for x
    x = 264,928.48/529.10
  6. Step 6: Final answer
    x = 500.72

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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.