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Finding the Fourth Proportional to 682.10, 943.02 and 653.04

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Solution

The fourth proportional to 682.10, 943.02 and 653.04 is: 902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.10 : 943.02 = 653.04 : x
  2. Step 2: Convert to fraction form
    682.10/943.02 = 653.04/x
  3. Step 3: Cross multiply
    682.10x = 943.02 × 653.04
  4. Step 4: Simplify right side
    682.10x = 615,829.78
  5. Step 5: Solve for x
    x = 615,829.78/682.10
  6. Step 6: Final answer
    x = 902.85

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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.