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Finding the Fourth Proportional to 1,639.76, 2,460.56 and 870.24

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Solution

The fourth proportional to 1,639.76, 2,460.56 and 870.24 is: 1,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.76 : 2,460.56 = 870.24 : x
  2. Step 2: Convert to fraction form
    1,639.76/2,460.56 = 870.24/x
  3. Step 3: Cross multiply
    1,639.76x = 2,460.56 × 870.24
  4. Step 4: Simplify right side
    1,639.76x = 2,141,277.73
  5. Step 5: Solve for x
    x = 2,141,277.73/1,639.76
  6. Step 6: Final answer
    x = 1,305.85

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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.