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Finding the Fourth Proportional to 722.12, 1,083.12 and 478.82

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Solution

The fourth proportional to 722.12, 1,083.12 and 478.82 is: 718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.12 : 1,083.12 = 478.82 : x
  2. Step 2: Convert to fraction form
    722.12/1,083.12 = 478.82/x
  3. Step 3: Cross multiply
    722.12x = 1,083.12 × 478.82
  4. Step 4: Simplify right side
    722.12x = 518,619.52
  5. Step 5: Solve for x
    x = 518,619.52/722.12
  6. Step 6: Final answer
    x = 718.19

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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.