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Finding the Fourth Proportional to 1,050.23, 1,449.60 and 718.54

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Solution

The fourth proportional to 1,050.23, 1,449.60 and 718.54 is: 991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.23 : 1,449.60 = 718.54 : x
  2. Step 2: Convert to fraction form
    1,050.23/1,449.60 = 718.54/x
  3. Step 3: Cross multiply
    1,050.23x = 1,449.60 × 718.54
  4. Step 4: Simplify right side
    1,050.23x = 1,041,589.27
  5. Step 5: Solve for x
    x = 1,041,589.27/1,050.23
  6. Step 6: Final answer
    x = 991.77

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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.