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Finding the Fourth Proportional to 535.50, 737.43 and 513.02

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Solution

The fourth proportional to 535.50, 737.43 and 513.02 is: 706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 737.43 = 513.02 : x
  2. Step 2: Convert to fraction form
    535.50/737.43 = 513.02/x
  3. Step 3: Cross multiply
    535.50x = 737.43 × 513.02
  4. Step 4: Simplify right side
    535.50x = 378,316.34
  5. Step 5: Solve for x
    x = 378,316.34/535.50
  6. Step 6: Final answer
    x = 706.47

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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.