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Finding the Fourth Proportional to 1,572.51, 2,357.40 and 791.85

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Solution

The fourth proportional to 1,572.51, 2,357.40 and 791.85 is: 1,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.51 : 2,357.40 = 791.85 : x
  2. Step 2: Convert to fraction form
    1,572.51/2,357.40 = 791.85/x
  3. Step 3: Cross multiply
    1,572.51x = 2,357.40 × 791.85
  4. Step 4: Simplify right side
    1,572.51x = 1,866,712.32
  5. Step 5: Solve for x
    x = 1,866,712.32/1,572.51
  6. Step 6: Final answer
    x = 1,187.09

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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.