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Finding the Fourth Proportional to 739.50, 1,109.13 and 522.42

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Solution

The fourth proportional to 739.50, 1,109.13 and 522.42 is: 783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.50 : 1,109.13 = 522.42 : x
  2. Step 2: Convert to fraction form
    739.50/1,109.13 = 522.42/x
  3. Step 3: Cross multiply
    739.50x = 1,109.13 × 522.42
  4. Step 4: Simplify right side
    739.50x = 579,431.69
  5. Step 5: Solve for x
    x = 579,431.69/739.50
  6. Step 6: Final answer
    x = 783.55

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1.5x scale

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.