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Finding the Fourth Proportional to 1,050.65, 1,449.92 and 788.21

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Solution

The fourth proportional to 1,050.65, 1,449.92 and 788.21 is: 1,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.65 : 1,449.92 = 788.21 : x
  2. Step 2: Convert to fraction form
    1,050.65/1,449.92 = 788.21/x
  3. Step 3: Cross multiply
    1,050.65x = 1,449.92 × 788.21
  4. Step 4: Simplify right side
    1,050.65x = 1,142,836.16
  5. Step 5: Solve for x
    x = 1,142,836.16/1,050.65
  6. Step 6: Final answer
    x = 1,087.75

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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.