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Finding the Fourth Proportional to 1,411.97, 1,948.51 and 790.97

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Solution

The fourth proportional to 1,411.97, 1,948.51 and 790.97 is: 1,091.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.97 : 1,948.51 = 790.97 : x
  2. Step 2: Convert to fraction form
    1,411.97/1,948.51 = 790.97/x
  3. Step 3: Cross multiply
    1,411.97x = 1,948.51 × 790.97
  4. Step 4: Simplify right side
    1,411.97x = 1,541,212.95
  5. Step 5: Solve for x
    x = 1,541,212.95/1,411.97
  6. Step 6: Final answer
    x = 1,091.53

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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.