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Finding the Fourth Proportional to 1,810.67, 2,716.20 and 578.24

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Solution

The fourth proportional to 1,810.67, 2,716.20 and 578.24 is: 867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.67 : 2,716.20 = 578.24 : x
  2. Step 2: Convert to fraction form
    1,810.67/2,716.20 = 578.24/x
  3. Step 3: Cross multiply
    1,810.67x = 2,716.20 × 578.24
  4. Step 4: Simplify right side
    1,810.67x = 1,570,615.49
  5. Step 5: Solve for x
    x = 1,570,615.49/1,810.67
  6. Step 6: Final answer
    x = 867.42

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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.