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Finding the Fourth Proportional to 1,564.60, 2,344.20 and 741.10

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Solution

The fourth proportional to 1,564.60, 2,344.20 and 741.10 is: 1,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.60 : 2,344.20 = 741.10 : x
  2. Step 2: Convert to fraction form
    1,564.60/2,344.20 = 741.10/x
  3. Step 3: Cross multiply
    1,564.60x = 2,344.20 × 741.10
  4. Step 4: Simplify right side
    1,564.60x = 1,737,286.62
  5. Step 5: Solve for x
    x = 1,737,286.62/1,564.60
  6. Step 6: Final answer
    x = 1,110.37

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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.