Home / 1,429.17-2,142.54-564.09

Finding the Fourth Proportional to 1,429.17, 2,142.54 and 564.09

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Solution

The fourth proportional to 1,429.17, 2,142.54 and 564.09 is: 845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.17 : 2,142.54 = 564.09 : x
  2. Step 2: Convert to fraction form
    1,429.17/2,142.54 = 564.09/x
  3. Step 3: Cross multiply
    1,429.17x = 2,142.54 × 564.09
  4. Step 4: Simplify right side
    1,429.17x = 1,208,585.39
  5. Step 5: Solve for x
    x = 1,208,585.39/1,429.17
  6. Step 6: Final answer
    x = 845.66

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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.