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Finding the Fourth Proportional to 1,564.42, 2,158.80 and 865.75

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Solution

The fourth proportional to 1,564.42, 2,158.80 and 865.75 is: 1,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.42 : 2,158.80 = 865.75 : x
  2. Step 2: Convert to fraction form
    1,564.42/2,158.80 = 865.75/x
  3. Step 3: Cross multiply
    1,564.42x = 2,158.80 × 865.75
  4. Step 4: Simplify right side
    1,564.42x = 1,868,981.10
  5. Step 5: Solve for x
    x = 1,868,981.10/1,564.42
  6. Step 6: Final answer
    x = 1,194.68

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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.