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Finding the Fourth Proportional to 509.01, 759.81 and 501.72

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Solution

The fourth proportional to 509.01, 759.81 and 501.72 is: 748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.01 : 759.81 = 501.72 : x
  2. Step 2: Convert to fraction form
    509.01/759.81 = 501.72/x
  3. Step 3: Cross multiply
    509.01x = 759.81 × 501.72
  4. Step 4: Simplify right side
    509.01x = 381,211.87
  5. Step 5: Solve for x
    x = 381,211.87/509.01
  6. Step 6: Final answer
    x = 748.93

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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.