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Finding the Fourth Proportional to 621.77, 857.44 and 474.14

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Solution

The fourth proportional to 621.77, 857.44 and 474.14 is: 653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.77 : 857.44 = 474.14 : x
  2. Step 2: Convert to fraction form
    621.77/857.44 = 474.14/x
  3. Step 3: Cross multiply
    621.77x = 857.44 × 474.14
  4. Step 4: Simplify right side
    621.77x = 406,549.34
  5. Step 5: Solve for x
    x = 406,549.34/621.77
  6. Step 6: Final answer
    x = 653.86

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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.