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Finding the Fourth Proportional to 1,048.09, 1,446.31 and 628.19

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Solution

The fourth proportional to 1,048.09, 1,446.31 and 628.19 is: 866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.09 : 1,446.31 = 628.19 : x
  2. Step 2: Convert to fraction form
    1,048.09/1,446.31 = 628.19/x
  3. Step 3: Cross multiply
    1,048.09x = 1,446.31 × 628.19
  4. Step 4: Simplify right side
    1,048.09x = 908,552.92
  5. Step 5: Solve for x
    x = 908,552.92/1,048.09
  6. Step 6: Final answer
    x = 866.87

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1.5x scale

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.