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Finding the Fourth Proportional to 1,486.41, 2,051.48 and 897.03

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Solution

The fourth proportional to 1,486.41, 2,051.48 and 897.03 is: 1,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.41 : 2,051.48 = 897.03 : x
  2. Step 2: Convert to fraction form
    1,486.41/2,051.48 = 897.03/x
  3. Step 3: Cross multiply
    1,486.41x = 2,051.48 × 897.03
  4. Step 4: Simplify right side
    1,486.41x = 1,840,239.10
  5. Step 5: Solve for x
    x = 1,840,239.10/1,486.41
  6. Step 6: Final answer
    x = 1,238.04

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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.