Home / 1,564.07-2,158.41-865.45

Finding the Fourth Proportional to 1,564.07, 2,158.41 and 865.45

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Solution

The fourth proportional to 1,564.07, 2,158.41 and 865.45 is: 1,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.07 : 2,158.41 = 865.45 : x
  2. Step 2: Convert to fraction form
    1,564.07/2,158.41 = 865.45/x
  3. Step 3: Cross multiply
    1,564.07x = 2,158.41 × 865.45
  4. Step 4: Simplify right side
    1,564.07x = 1,867,995.93
  5. Step 5: Solve for x
    x = 1,867,995.93/1,564.07
  6. Step 6: Final answer
    x = 1,194.32

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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.