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Finding the Fourth Proportional to 1,255.68, 1,878.66 and 891.18

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Solution

The fourth proportional to 1,255.68, 1,878.66 and 891.18 is: 1,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.68 : 1,878.66 = 891.18 : x
  2. Step 2: Convert to fraction form
    1,255.68/1,878.66 = 891.18/x
  3. Step 3: Cross multiply
    1,255.68x = 1,878.66 × 891.18
  4. Step 4: Simplify right side
    1,255.68x = 1,674,224.22
  5. Step 5: Solve for x
    x = 1,674,224.22/1,255.68
  6. Step 6: Final answer
    x = 1,333.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.