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Finding the Fourth Proportional to 621.40, 857.54 and 341.65

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Solution

The fourth proportional to 621.40, 857.54 and 341.65 is: 471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.40 : 857.54 = 341.65 : x
  2. Step 2: Convert to fraction form
    621.40/857.54 = 341.65/x
  3. Step 3: Cross multiply
    621.40x = 857.54 × 341.65
  4. Step 4: Simplify right side
    621.40x = 292,978.54
  5. Step 5: Solve for x
    x = 292,978.54/621.40
  6. Step 6: Final answer
    x = 471.48

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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.