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Finding the Fourth Proportional to 821.88, 1,135.17 and 654.40

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Solution

The fourth proportional to 821.88, 1,135.17 and 654.40 is: 903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.88 : 1,135.17 = 654.40 : x
  2. Step 2: Convert to fraction form
    821.88/1,135.17 = 654.40/x
  3. Step 3: Cross multiply
    821.88x = 1,135.17 × 654.40
  4. Step 4: Simplify right side
    821.88x = 742,851.98
  5. Step 5: Solve for x
    x = 742,851.98/821.88
  6. Step 6: Final answer
    x = 903.84

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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.