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Finding the Fourth Proportional to 1,370.58, 1,891.26 and 811.08

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Solution

The fourth proportional to 1,370.58, 1,891.26 and 811.08 is: 1,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.58 : 1,891.26 = 811.08 : x
  2. Step 2: Convert to fraction form
    1,370.58/1,891.26 = 811.08/x
  3. Step 3: Cross multiply
    1,370.58x = 1,891.26 × 811.08
  4. Step 4: Simplify right side
    1,370.58x = 1,533,950.66
  5. Step 5: Solve for x
    x = 1,533,950.66/1,370.58
  6. Step 6: Final answer
    x = 1,119.20

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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.