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Finding the Fourth Proportional to 501.72, 753.80 and 440.96

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Solution

The fourth proportional to 501.72, 753.80 and 440.96 is: 662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.72 : 753.80 = 440.96 : x
  2. Step 2: Convert to fraction form
    501.72/753.80 = 440.96/x
  3. Step 3: Cross multiply
    501.72x = 753.80 × 440.96
  4. Step 4: Simplify right side
    501.72x = 332,395.65
  5. Step 5: Solve for x
    x = 332,395.65/501.72
  6. Step 6: Final answer
    x = 662.51

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1.5x scale

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.