Home / 1,564.60-2,345.46-743.26

Finding the Fourth Proportional to 1,564.60, 2,345.46 and 743.26

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Solution

The fourth proportional to 1,564.60, 2,345.46 and 743.26 is: 1,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.60 : 2,345.46 = 743.26 : x
  2. Step 2: Convert to fraction form
    1,564.60/2,345.46 = 743.26/x
  3. Step 3: Cross multiply
    1,564.60x = 2,345.46 × 743.26
  4. Step 4: Simplify right side
    1,564.60x = 1,743,286.60
  5. Step 5: Solve for x
    x = 1,743,286.60/1,564.60
  6. Step 6: Final answer
    x = 1,114.21

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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.