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Finding the Fourth Proportional to 629.52, 943.20 and 501

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Solution

The fourth proportional to 629.52, 943.20 and 501 is: 750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 943.20 = 501 : x
  2. Step 2: Convert to fraction form
    629.52/943.20 = 501/x
  3. Step 3: Cross multiply
    629.52x = 943.20 × 501
  4. Step 4: Simplify right side
    629.52x = 472,543.20
  5. Step 5: Solve for x
    x = 472,543.20/629.52
  6. Step 6: Final answer
    x = 750.64

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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.