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Finding the Fourth Proportional to 1,665.09, 2,497.73 and 510.75

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Solution

The fourth proportional to 1,665.09, 2,497.73 and 510.75 is: 766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.09 : 2,497.73 = 510.75 : x
  2. Step 2: Convert to fraction form
    1,665.09/2,497.73 = 510.75/x
  3. Step 3: Cross multiply
    1,665.09x = 2,497.73 × 510.75
  4. Step 4: Simplify right side
    1,665.09x = 1,275,713.04
  5. Step 5: Solve for x
    x = 1,275,713.04/1,665.09
  6. Step 6: Final answer
    x = 766.15

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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.