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Finding the Fourth Proportional to 1,347.53, 2,017.70 and 791.78

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Solution

The fourth proportional to 1,347.53, 2,017.70 and 791.78 is: 1,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.53 : 2,017.70 = 791.78 : x
  2. Step 2: Convert to fraction form
    1,347.53/2,017.70 = 791.78/x
  3. Step 3: Cross multiply
    1,347.53x = 2,017.70 × 791.78
  4. Step 4: Simplify right side
    1,347.53x = 1,597,574.51
  5. Step 5: Solve for x
    x = 1,597,574.51/1,347.53
  6. Step 6: Final answer
    x = 1,185.56

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1.5x scale

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.