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Finding the Fourth Proportional to 739.98, 1,110.42 and 307.13

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Solution

The fourth proportional to 739.98, 1,110.42 and 307.13 is: 460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.98 : 1,110.42 = 307.13 : x
  2. Step 2: Convert to fraction form
    739.98/1,110.42 = 307.13/x
  3. Step 3: Cross multiply
    739.98x = 1,110.42 × 307.13
  4. Step 4: Simplify right side
    739.98x = 341,037.74
  5. Step 5: Solve for x
    x = 341,037.74/739.98
  6. Step 6: Final answer
    x = 460.87

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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.