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Finding the Fourth Proportional to 501, 746.28 and 477.72

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Solution

The fourth proportional to 501, 746.28 and 477.72 is: 711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501 : 746.28 = 477.72 : x
  2. Step 2: Convert to fraction form
    501/746.28 = 477.72/x
  3. Step 3: Cross multiply
    501x = 746.28 × 477.72
  4. Step 4: Simplify right side
    501x = 356,512.88
  5. Step 5: Solve for x
    x = 356,512.88/501
  6. Step 6: Final answer
    x = 711.60

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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.