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Finding the Fourth Proportional to 783.36, 1,081.22 and 488.93

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Solution

The fourth proportional to 783.36, 1,081.22 and 488.93 is: 674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.36 : 1,081.22 = 488.93 : x
  2. Step 2: Convert to fraction form
    783.36/1,081.22 = 488.93/x
  3. Step 3: Cross multiply
    783.36x = 1,081.22 × 488.93
  4. Step 4: Simplify right side
    783.36x = 528,633.04
  5. Step 5: Solve for x
    x = 528,633.04/783.36
  6. Step 6: Final answer
    x = 674.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.