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Finding the Fourth Proportional to 645.44, 962.08 and 593.60

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Solution

The fourth proportional to 645.44, 962.08 and 593.60 is: 884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.44 : 962.08 = 593.60 : x
  2. Step 2: Convert to fraction form
    645.44/962.08 = 593.60/x
  3. Step 3: Cross multiply
    645.44x = 962.08 × 593.60
  4. Step 4: Simplify right side
    645.44x = 571,090.69
  5. Step 5: Solve for x
    x = 571,090.69/645.44
  6. Step 6: Final answer
    x = 884.81

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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.