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Finding the Fourth Proportional to 739.68, 1,021.25 and 491.34

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Solution

The fourth proportional to 739.68, 1,021.25 and 491.34 is: 678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.68 : 1,021.25 = 491.34 : x
  2. Step 2: Convert to fraction form
    739.68/1,021.25 = 491.34/x
  3. Step 3: Cross multiply
    739.68x = 1,021.25 × 491.34
  4. Step 4: Simplify right side
    739.68x = 501,778.52
  5. Step 5: Solve for x
    x = 501,778.52/739.68
  6. Step 6: Final answer
    x = 678.37

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1.5x scale

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.