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Finding the Fourth Proportional to 501.64, 753.90 and 331.72

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Solution

The fourth proportional to 501.64, 753.90 and 331.72 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 753.90 = 331.72 : x
  2. Step 2: Convert to fraction form
    501.64/753.90 = 331.72/x
  3. Step 3: Cross multiply
    501.64x = 753.90 × 331.72
  4. Step 4: Simplify right side
    501.64x = 250,083.71
  5. Step 5: Solve for x
    x = 250,083.71/501.64
  6. Step 6: Final answer
    x = 498.53

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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.