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Finding the Fourth Proportional to 1,565.94, 2,160.90 and 867.32

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Solution

The fourth proportional to 1,565.94, 2,160.90 and 867.32 is: 1,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.94 : 2,160.90 = 867.32 : x
  2. Step 2: Convert to fraction form
    1,565.94/2,160.90 = 867.32/x
  3. Step 3: Cross multiply
    1,565.94x = 2,160.90 × 867.32
  4. Step 4: Simplify right side
    1,565.94x = 1,874,180.98
  5. Step 5: Solve for x
    x = 1,874,180.98/1,565.94
  6. Step 6: Final answer
    x = 1,196.84

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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.