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Finding the Fourth Proportional to 1,050.46, 1,447.50 and 812.97

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Solution

The fourth proportional to 1,050.46, 1,447.50 and 812.97 is: 1,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.46 : 1,447.50 = 812.97 : x
  2. Step 2: Convert to fraction form
    1,050.46/1,447.50 = 812.97/x
  3. Step 3: Cross multiply
    1,050.46x = 1,447.50 × 812.97
  4. Step 4: Simplify right side
    1,050.46x = 1,176,774.08
  5. Step 5: Solve for x
    x = 1,176,774.08/1,050.46
  6. Step 6: Final answer
    x = 1,120.25

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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.