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Finding the Fourth Proportional to 735.02, 1,013.82 and 513.89

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Solution

The fourth proportional to 735.02, 1,013.82 and 513.89 is: 708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.02 : 1,013.82 = 513.89 : x
  2. Step 2: Convert to fraction form
    735.02/1,013.82 = 513.89/x
  3. Step 3: Cross multiply
    735.02x = 1,013.82 × 513.89
  4. Step 4: Simplify right side
    735.02x = 520,991.96
  5. Step 5: Solve for x
    x = 520,991.96/735.02
  6. Step 6: Final answer
    x = 708.81

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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.