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Finding the Fourth Proportional to 722.04, 1,081.23 and 478.20

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Solution

The fourth proportional to 722.04, 1,081.23 and 478.20 is: 716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.04 : 1,081.23 = 478.20 : x
  2. Step 2: Convert to fraction form
    722.04/1,081.23 = 478.20/x
  3. Step 3: Cross multiply
    722.04x = 1,081.23 × 478.20
  4. Step 4: Simplify right side
    722.04x = 517,044.19
  5. Step 5: Solve for x
    x = 517,044.19/722.04
  6. Step 6: Final answer
    x = 716.09

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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.