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Finding the Fourth Proportional to 735.30, 1,013.19 and 689.94

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Solution

The fourth proportional to 735.30, 1,013.19 and 689.94 is: 950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.30 : 1,013.19 = 689.94 : x
  2. Step 2: Convert to fraction form
    735.30/1,013.19 = 689.94/x
  3. Step 3: Cross multiply
    735.30x = 1,013.19 × 689.94
  4. Step 4: Simplify right side
    735.30x = 699,040.31
  5. Step 5: Solve for x
    x = 699,040.31/735.30
  6. Step 6: Final answer
    x = 950.69

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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.