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Finding the Fourth Proportional to 612.57, 845.70 and 447.15

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Solution

The fourth proportional to 612.57, 845.70 and 447.15 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.57 : 845.70 = 447.15 : x
  2. Step 2: Convert to fraction form
    612.57/845.70 = 447.15/x
  3. Step 3: Cross multiply
    612.57x = 845.70 × 447.15
  4. Step 4: Simplify right side
    612.57x = 378,154.76
  5. Step 5: Solve for x
    x = 378,154.76/612.57
  6. Step 6: Final answer
    x = 617.32

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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.