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Finding the Fourth Proportional to 1,370.29, 1,891.07 and 811.24

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Solution

The fourth proportional to 1,370.29, 1,891.07 and 811.24 is: 1,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.29 : 1,891.07 = 811.24 : x
  2. Step 2: Convert to fraction form
    1,370.29/1,891.07 = 811.24/x
  3. Step 3: Cross multiply
    1,370.29x = 1,891.07 × 811.24
  4. Step 4: Simplify right side
    1,370.29x = 1,534,113.49
  5. Step 5: Solve for x
    x = 1,534,113.49/1,370.29
  6. Step 6: Final answer
    x = 1,119.55

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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.