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Finding the Fourth Proportional to 722.72, 1,084.39 and 503.42

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Solution

The fourth proportional to 722.72, 1,084.39 and 503.42 is: 755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.72 : 1,084.39 = 503.42 : x
  2. Step 2: Convert to fraction form
    722.72/1,084.39 = 503.42/x
  3. Step 3: Cross multiply
    722.72x = 1,084.39 × 503.42
  4. Step 4: Simplify right side
    722.72x = 545,896.93
  5. Step 5: Solve for x
    x = 545,896.93/722.72
  6. Step 6: Final answer
    x = 755.33

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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.