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Finding the Fourth Proportional to 464.77, 641.35 and 340.95

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Solution

The fourth proportional to 464.77, 641.35 and 340.95 is: 470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.77 : 641.35 = 340.95 : x
  2. Step 2: Convert to fraction form
    464.77/641.35 = 340.95/x
  3. Step 3: Cross multiply
    464.77x = 641.35 × 340.95
  4. Step 4: Simplify right side
    464.77x = 218,671.11
  5. Step 5: Solve for x
    x = 218,671.11/464.77
  6. Step 6: Final answer
    x = 470.49

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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.