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Finding the Fourth Proportional to 824.19, 1,137.08 and 647.21

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Solution

The fourth proportional to 824.19, 1,137.08 and 647.21 is: 892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.19 : 1,137.08 = 647.21 : x
  2. Step 2: Convert to fraction form
    824.19/1,137.08 = 647.21/x
  3. Step 3: Cross multiply
    824.19x = 1,137.08 × 647.21
  4. Step 4: Simplify right side
    824.19x = 735,920.63
  5. Step 5: Solve for x
    x = 735,920.63/824.19
  6. Step 6: Final answer
    x = 892.90

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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.