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Finding the Fourth Proportional to 1,357.42, 1,873.23 and 736.42

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Solution

The fourth proportional to 1,357.42, 1,873.23 and 736.42 is: 1,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.42 : 1,873.23 = 736.42 : x
  2. Step 2: Convert to fraction form
    1,357.42/1,873.23 = 736.42/x
  3. Step 3: Cross multiply
    1,357.42x = 1,873.23 × 736.42
  4. Step 4: Simplify right side
    1,357.42x = 1,379,484.04
  5. Step 5: Solve for x
    x = 1,379,484.04/1,357.42
  6. Step 6: Final answer
    x = 1,016.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.