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Finding the Fourth Proportional to 1,389.41, 2,083.61 and 567.24

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Solution

The fourth proportional to 1,389.41, 2,083.61 and 567.24 is: 850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.41 : 2,083.61 = 567.24 : x
  2. Step 2: Convert to fraction form
    1,389.41/2,083.61 = 567.24/x
  3. Step 3: Cross multiply
    1,389.41x = 2,083.61 × 567.24
  4. Step 4: Simplify right side
    1,389.41x = 1,181,904.10
  5. Step 5: Solve for x
    x = 1,181,904.10/1,389.41
  6. Step 6: Final answer
    x = 850.65

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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.