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Finding the Fourth Proportional to 722.40, 1,083.66 and 283.64

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Solution

The fourth proportional to 722.40, 1,083.66 and 283.64 is: 425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.40 : 1,083.66 = 283.64 : x
  2. Step 2: Convert to fraction form
    722.40/1,083.66 = 283.64/x
  3. Step 3: Cross multiply
    722.40x = 1,083.66 × 283.64
  4. Step 4: Simplify right side
    722.40x = 307,369.32
  5. Step 5: Solve for x
    x = 307,369.32/722.40
  6. Step 6: Final answer
    x = 425.48

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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.