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Finding the Fourth Proportional to 735.16, 1,013.22 and 579.64

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Solution

The fourth proportional to 735.16, 1,013.22 and 579.64 is: 798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.16 : 1,013.22 = 579.64 : x
  2. Step 2: Convert to fraction form
    735.16/1,013.22 = 579.64/x
  3. Step 3: Cross multiply
    735.16x = 1,013.22 × 579.64
  4. Step 4: Simplify right side
    735.16x = 587,302.84
  5. Step 5: Solve for x
    x = 587,302.84/735.16
  6. Step 6: Final answer
    x = 798.88

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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.