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Finding the Fourth Proportional to 887.78, 1,226.14 and 875.64

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Solution

The fourth proportional to 887.78, 1,226.14 and 875.64 is: 1,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.78 : 1,226.14 = 875.64 : x
  2. Step 2: Convert to fraction form
    887.78/1,226.14 = 875.64/x
  3. Step 3: Cross multiply
    887.78x = 1,226.14 × 875.64
  4. Step 4: Simplify right side
    887.78x = 1,073,657.23
  5. Step 5: Solve for x
    x = 1,073,657.23/887.78
  6. Step 6: Final answer
    x = 1,209.37

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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.