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Finding the Fourth Proportional to 1,048.25, 1,446.17 and 675.18

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Solution

The fourth proportional to 1,048.25, 1,446.17 and 675.18 is: 931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.25 : 1,446.17 = 675.18 : x
  2. Step 2: Convert to fraction form
    1,048.25/1,446.17 = 675.18/x
  3. Step 3: Cross multiply
    1,048.25x = 1,446.17 × 675.18
  4. Step 4: Simplify right side
    1,048.25x = 976,421.68
  5. Step 5: Solve for x
    x = 976,421.68/1,048.25
  6. Step 6: Final answer
    x = 931.48

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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.