Home / 1,564.59-2,159.19-865.97

Finding the Fourth Proportional to 1,564.59, 2,159.19 and 865.97

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Solution

The fourth proportional to 1,564.59, 2,159.19 and 865.97 is: 1,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.59 : 2,159.19 = 865.97 : x
  2. Step 2: Convert to fraction form
    1,564.59/2,159.19 = 865.97/x
  3. Step 3: Cross multiply
    1,564.59x = 2,159.19 × 865.97
  4. Step 4: Simplify right side
    1,564.59x = 1,869,782.97
  5. Step 5: Solve for x
    x = 1,869,782.97/1,564.59
  6. Step 6: Final answer
    x = 1,195.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.