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Finding the Fourth Proportional to 1,248.25, 1,710.08 and 1,201.51

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Solution

The fourth proportional to 1,248.25, 1,710.08 and 1,201.51 is: 1,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.25 : 1,710.08 = 1,201.51 : x
  2. Step 2: Convert to fraction form
    1,248.25/1,710.08 = 1,201.51/x
  3. Step 3: Cross multiply
    1,248.25x = 1,710.08 × 1,201.51
  4. Step 4: Simplify right side
    1,248.25x = 2,054,676.58
  5. Step 5: Solve for x
    x = 2,054,676.58/1,248.25
  6. Step 6: Final answer
    x = 1,646.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.