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Finding the Fourth Proportional to 621.43, 857.66 and 473.81

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Solution

The fourth proportional to 621.43, 857.66 and 473.81 is: 653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.43 : 857.66 = 473.81 : x
  2. Step 2: Convert to fraction form
    621.43/857.66 = 473.81/x
  3. Step 3: Cross multiply
    621.43x = 857.66 × 473.81
  4. Step 4: Simplify right side
    621.43x = 406,361.23
  5. Step 5: Solve for x
    x = 406,361.23/621.43
  6. Step 6: Final answer
    x = 653.92

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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.