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Finding the Fourth Proportional to 646.12, 974.05 and 604.36

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Solution

The fourth proportional to 646.12, 974.05 and 604.36 is: 911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 974.05 = 604.36 : x
  2. Step 2: Convert to fraction form
    646.12/974.05 = 604.36/x
  3. Step 3: Cross multiply
    646.12x = 974.05 × 604.36
  4. Step 4: Simplify right side
    646.12x = 588,676.86
  5. Step 5: Solve for x
    x = 588,676.86/646.12
  6. Step 6: Final answer
    x = 911.10

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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.