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Finding the Fourth Proportional to 824.46, 1,137.51 and 720.60

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Solution

The fourth proportional to 824.46, 1,137.51 and 720.60 is: 994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.46 : 1,137.51 = 720.60 : x
  2. Step 2: Convert to fraction form
    824.46/1,137.51 = 720.60/x
  3. Step 3: Cross multiply
    824.46x = 1,137.51 × 720.60
  4. Step 4: Simplify right side
    824.46x = 819,689.71
  5. Step 5: Solve for x
    x = 819,689.71/824.46
  6. Step 6: Final answer
    x = 994.21

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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.