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Finding the Fourth Proportional to 509.29, 758.60 and 502.99

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Solution

The fourth proportional to 509.29, 758.60 and 502.99 is: 749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.29 : 758.60 = 502.99 : x
  2. Step 2: Convert to fraction form
    509.29/758.60 = 502.99/x
  3. Step 3: Cross multiply
    509.29x = 758.60 × 502.99
  4. Step 4: Simplify right side
    509.29x = 381,568.21
  5. Step 5: Solve for x
    x = 381,568.21/509.29
  6. Step 6: Final answer
    x = 749.22

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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.