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Finding the Fourth Proportional to 1,050.33, 1,449.33 and 630.69

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Solution

The fourth proportional to 1,050.33, 1,449.33 and 630.69 is: 870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.33 : 1,449.33 = 630.69 : x
  2. Step 2: Convert to fraction form
    1,050.33/1,449.33 = 630.69/x
  3. Step 3: Cross multiply
    1,050.33x = 1,449.33 × 630.69
  4. Step 4: Simplify right side
    1,050.33x = 914,077.94
  5. Step 5: Solve for x
    x = 914,077.94/1,050.33
  6. Step 6: Final answer
    x = 870.28

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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.