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Finding the Fourth Proportional to 1,488, 2,052.22 and 897.52

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Solution

The fourth proportional to 1,488, 2,052.22 and 897.52 is: 1,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488 : 2,052.22 = 897.52 : x
  2. Step 2: Convert to fraction form
    1,488/2,052.22 = 897.52/x
  3. Step 3: Cross multiply
    1,488x = 2,052.22 × 897.52
  4. Step 4: Simplify right side
    1,488x = 1,841,908.49
  5. Step 5: Solve for x
    x = 1,841,908.49/1,488
  6. Step 6: Final answer
    x = 1,237.84

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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.