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Finding the Fourth Proportional to 1,050, 1,449.36 and 636

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Solution

The fourth proportional to 1,050, 1,449.36 and 636 is: 877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050 : 1,449.36 = 636 : x
  2. Step 2: Convert to fraction form
    1,050/1,449.36 = 636/x
  3. Step 3: Cross multiply
    1,050x = 1,449.36 × 636
  4. Step 4: Simplify right side
    1,050x = 921,792.96
  5. Step 5: Solve for x
    x = 921,792.96/1,050
  6. Step 6: Final answer
    x = 877.90

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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.