Home / 1,664.91-2,497.61-510.75

Finding the Fourth Proportional to 1,664.91, 2,497.61 and 510.75

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Solution

The fourth proportional to 1,664.91, 2,497.61 and 510.75 is: 766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.91 : 2,497.61 = 510.75 : x
  2. Step 2: Convert to fraction form
    1,664.91/2,497.61 = 510.75/x
  3. Step 3: Cross multiply
    1,664.91x = 2,497.61 × 510.75
  4. Step 4: Simplify right side
    1,664.91x = 1,275,651.75
  5. Step 5: Solve for x
    x = 1,275,651.75/1,664.91
  6. Step 6: Final answer
    x = 766.20

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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.