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Finding the Fourth Proportional to 412.97, 621.85 and 340.53

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Solution

The fourth proportional to 412.97, 621.85 and 340.53 is: 512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.97 : 621.85 = 340.53 : x
  2. Step 2: Convert to fraction form
    412.97/621.85 = 340.53/x
  3. Step 3: Cross multiply
    412.97x = 621.85 × 340.53
  4. Step 4: Simplify right side
    412.97x = 211,756.88
  5. Step 5: Solve for x
    x = 211,756.88/412.97
  6. Step 6: Final answer
    x = 512.77

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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.