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Finding the Fourth Proportional to 644.53, 964.48 and 558.16

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Solution

The fourth proportional to 644.53, 964.48 and 558.16 is: 835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.53 : 964.48 = 558.16 : x
  2. Step 2: Convert to fraction form
    644.53/964.48 = 558.16/x
  3. Step 3: Cross multiply
    644.53x = 964.48 × 558.16
  4. Step 4: Simplify right side
    644.53x = 538,326.54
  5. Step 5: Solve for x
    x = 538,326.54/644.53
  6. Step 6: Final answer
    x = 835.23

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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.