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Finding the Fourth Proportional to 735.65, 1,103.14 and 427.59

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Solution

The fourth proportional to 735.65, 1,103.14 and 427.59 is: 641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.65 : 1,103.14 = 427.59 : x
  2. Step 2: Convert to fraction form
    735.65/1,103.14 = 427.59/x
  3. Step 3: Cross multiply
    735.65x = 1,103.14 × 427.59
  4. Step 4: Simplify right side
    735.65x = 471,689.49
  5. Step 5: Solve for x
    x = 471,689.49/735.65
  6. Step 6: Final answer
    x = 641.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.