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Finding the Fourth Proportional to 783.94, 1,081.93 and 587.11

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Solution

The fourth proportional to 783.94, 1,081.93 and 587.11 is: 810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.94 : 1,081.93 = 587.11 : x
  2. Step 2: Convert to fraction form
    783.94/1,081.93 = 587.11/x
  3. Step 3: Cross multiply
    783.94x = 1,081.93 × 587.11
  4. Step 4: Simplify right side
    783.94x = 635,211.92
  5. Step 5: Solve for x
    x = 635,211.92/783.94
  6. Step 6: Final answer
    x = 810.28

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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.