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Finding the Fourth Proportional to 1,050.92, 1,449.75 and 631.07

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Solution

The fourth proportional to 1,050.92, 1,449.75 and 631.07 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.92 : 1,449.75 = 631.07 : x
  2. Step 2: Convert to fraction form
    1,050.92/1,449.75 = 631.07/x
  3. Step 3: Cross multiply
    1,050.92x = 1,449.75 × 631.07
  4. Step 4: Simplify right side
    1,050.92x = 914,893.73
  5. Step 5: Solve for x
    x = 914,893.73/1,050.92
  6. Step 6: Final answer
    x = 870.56

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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.