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Finding the Fourth Proportional to 1,549.09, 2,323.99 and 509.16

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Solution

The fourth proportional to 1,549.09, 2,323.99 and 509.16 is: 763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.09 : 2,323.99 = 509.16 : x
  2. Step 2: Convert to fraction form
    1,549.09/2,323.99 = 509.16/x
  3. Step 3: Cross multiply
    1,549.09x = 2,323.99 × 509.16
  4. Step 4: Simplify right side
    1,549.09x = 1,183,282.75
  5. Step 5: Solve for x
    x = 1,183,282.75/1,549.09
  6. Step 6: Final answer
    x = 763.86

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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.