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Finding the Fourth Proportional to 722.71, 1,085.14 and 414.91

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Solution

The fourth proportional to 722.71, 1,085.14 and 414.91 is: 622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.71 : 1,085.14 = 414.91 : x
  2. Step 2: Convert to fraction form
    722.71/1,085.14 = 414.91/x
  3. Step 3: Cross multiply
    722.71x = 1,085.14 × 414.91
  4. Step 4: Simplify right side
    722.71x = 450,235.44
  5. Step 5: Solve for x
    x = 450,235.44/722.71
  6. Step 6: Final answer
    x = 622.98

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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.