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Finding the Fourth Proportional to 637.24, 956.54 and 564.56

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Solution

The fourth proportional to 637.24, 956.54 and 564.56 is: 847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.24 : 956.54 = 564.56 : x
  2. Step 2: Convert to fraction form
    637.24/956.54 = 564.56/x
  3. Step 3: Cross multiply
    637.24x = 956.54 × 564.56
  4. Step 4: Simplify right side
    637.24x = 540,024.22
  5. Step 5: Solve for x
    x = 540,024.22/637.24
  6. Step 6: Final answer
    x = 847.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.