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Finding the Fourth Proportional to 1,694.08, 2,538.82 and 870.63

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Solution

The fourth proportional to 1,694.08, 2,538.82 and 870.63 is: 1,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.08 : 2,538.82 = 870.63 : x
  2. Step 2: Convert to fraction form
    1,694.08/2,538.82 = 870.63/x
  3. Step 3: Cross multiply
    1,694.08x = 2,538.82 × 870.63
  4. Step 4: Simplify right side
    1,694.08x = 2,210,372.86
  5. Step 5: Solve for x
    x = 2,210,372.86/1,694.08
  6. Step 6: Final answer
    x = 1,304.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.