Home / 1,564.11-2,158.29-865.53

Finding the Fourth Proportional to 1,564.11, 2,158.29 and 865.53

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Solution

The fourth proportional to 1,564.11, 2,158.29 and 865.53 is: 1,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.11 : 2,158.29 = 865.53 : x
  2. Step 2: Convert to fraction form
    1,564.11/2,158.29 = 865.53/x
  3. Step 3: Cross multiply
    1,564.11x = 2,158.29 × 865.53
  4. Step 4: Simplify right side
    1,564.11x = 1,868,064.74
  5. Step 5: Solve for x
    x = 1,868,064.74/1,564.11
  6. Step 6: Final answer
    x = 1,194.33

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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.