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Finding the Fourth Proportional to 722.77, 1,084.62 and 415.23

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Solution

The fourth proportional to 722.77, 1,084.62 and 415.23 is: 623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.77 : 1,084.62 = 415.23 : x
  2. Step 2: Convert to fraction form
    722.77/1,084.62 = 415.23/x
  3. Step 3: Cross multiply
    722.77x = 1,084.62 × 415.23
  4. Step 4: Simplify right side
    722.77x = 450,360.75
  5. Step 5: Solve for x
    x = 450,360.75/722.77
  6. Step 6: Final answer
    x = 623.10

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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.