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Finding the Fourth Proportional to 1,084.47, 1,496.57 and 587.11

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Solution

The fourth proportional to 1,084.47, 1,496.57 and 587.11 is: 810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.47 : 1,496.57 = 587.11 : x
  2. Step 2: Convert to fraction form
    1,084.47/1,496.57 = 587.11/x
  3. Step 3: Cross multiply
    1,084.47x = 1,496.57 × 587.11
  4. Step 4: Simplify right side
    1,084.47x = 878,647.87
  5. Step 5: Solve for x
    x = 878,647.87/1,084.47
  6. Step 6: Final answer
    x = 810.21

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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.