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Finding the Fourth Proportional to 637.12, 956.33 and 564.45

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Solution

The fourth proportional to 637.12, 956.33 and 564.45 is: 847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.12 : 956.33 = 564.45 : x
  2. Step 2: Convert to fraction form
    637.12/956.33 = 564.45/x
  3. Step 3: Cross multiply
    637.12x = 956.33 × 564.45
  4. Step 4: Simplify right side
    637.12x = 539,800.47
  5. Step 5: Solve for x
    x = 539,800.47/637.12
  6. Step 6: Final answer
    x = 847.25

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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.