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Finding the Fourth Proportional to 1,309.41, 1,962.24 and 568.11

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Solution

The fourth proportional to 1,309.41, 1,962.24 and 568.11 is: 851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.41 : 1,962.24 = 568.11 : x
  2. Step 2: Convert to fraction form
    1,309.41/1,962.24 = 568.11/x
  3. Step 3: Cross multiply
    1,309.41x = 1,962.24 × 568.11
  4. Step 4: Simplify right side
    1,309.41x = 1,114,768.17
  5. Step 5: Solve for x
    x = 1,114,768.17/1,309.41
  6. Step 6: Final answer
    x = 851.35

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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.