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Finding the Fourth Proportional to 638.24, 953.32 and 566.56

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Solution

The fourth proportional to 638.24, 953.32 and 566.56 is: 846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.24 : 953.32 = 566.56 : x
  2. Step 2: Convert to fraction form
    638.24/953.32 = 566.56/x
  3. Step 3: Cross multiply
    638.24x = 953.32 × 566.56
  4. Step 4: Simplify right side
    638.24x = 540,112.98
  5. Step 5: Solve for x
    x = 540,112.98/638.24
  6. Step 6: Final answer
    x = 846.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.