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Finding the Fourth Proportional to 644.94, 962.43 and 575.72

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Solution

The fourth proportional to 644.94, 962.43 and 575.72 is: 859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.94 : 962.43 = 575.72 : x
  2. Step 2: Convert to fraction form
    644.94/962.43 = 575.72/x
  3. Step 3: Cross multiply
    644.94x = 962.43 × 575.72
  4. Step 4: Simplify right side
    644.94x = 554,091.43
  5. Step 5: Solve for x
    x = 554,091.43/644.94
  6. Step 6: Final answer
    x = 859.14

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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.