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Finding the Fourth Proportional to 529.52, 735.14 and 513.68

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Solution

The fourth proportional to 529.52, 735.14 and 513.68 is: 713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.52 : 735.14 = 513.68 : x
  2. Step 2: Convert to fraction form
    529.52/735.14 = 513.68/x
  3. Step 3: Cross multiply
    529.52x = 735.14 × 513.68
  4. Step 4: Simplify right side
    529.52x = 377,626.72
  5. Step 5: Solve for x
    x = 377,626.72/529.52
  6. Step 6: Final answer
    x = 713.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.