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Finding the Fourth Proportional to 621.22, 857.10 and 474.07

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Solution

The fourth proportional to 621.22, 857.10 and 474.07 is: 654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.22 : 857.10 = 474.07 : x
  2. Step 2: Convert to fraction form
    621.22/857.10 = 474.07/x
  3. Step 3: Cross multiply
    621.22x = 857.10 × 474.07
  4. Step 4: Simplify right side
    621.22x = 406,325.40
  5. Step 5: Solve for x
    x = 406,325.40/621.22
  6. Step 6: Final answer
    x = 654.08

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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.