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Finding the Fourth Proportional to 644.88, 968.40 and 501.60

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Solution

The fourth proportional to 644.88, 968.40 and 501.60 is: 753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.88 : 968.40 = 501.60 : x
  2. Step 2: Convert to fraction form
    644.88/968.40 = 501.60/x
  3. Step 3: Cross multiply
    644.88x = 968.40 × 501.60
  4. Step 4: Simplify right side
    644.88x = 485,749.44
  5. Step 5: Solve for x
    x = 485,749.44/644.88
  6. Step 6: Final answer
    x = 753.24

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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.