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Finding the Fourth Proportional to 887.91, 1,338.54 and 828.45

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Solution

The fourth proportional to 887.91, 1,338.54 and 828.45 is: 1,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.91 : 1,338.54 = 828.45 : x
  2. Step 2: Convert to fraction form
    887.91/1,338.54 = 828.45/x
  3. Step 3: Cross multiply
    887.91x = 1,338.54 × 828.45
  4. Step 4: Simplify right side
    887.91x = 1,108,913.46
  5. Step 5: Solve for x
    x = 1,108,913.46/887.91
  6. Step 6: Final answer
    x = 1,248.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.