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Finding the Fourth Proportional to 1,487.41, 2,052.30 and 897.94

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Solution

The fourth proportional to 1,487.41, 2,052.30 and 897.94 is: 1,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.41 : 2,052.30 = 897.94 : x
  2. Step 2: Convert to fraction form
    1,487.41/2,052.30 = 897.94/x
  3. Step 3: Cross multiply
    1,487.41x = 2,052.30 × 897.94
  4. Step 4: Simplify right side
    1,487.41x = 1,842,836.65
  5. Step 5: Solve for x
    x = 1,842,836.65/1,487.41
  6. Step 6: Final answer
    x = 1,238.95

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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.