Home / 1,743.12-2,614.68-510.84

Finding the Fourth Proportional to 1,743.12, 2,614.68 and 510.84

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Solution

The fourth proportional to 1,743.12, 2,614.68 and 510.84 is: 766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.12 : 2,614.68 = 510.84 : x
  2. Step 2: Convert to fraction form
    1,743.12/2,614.68 = 510.84/x
  3. Step 3: Cross multiply
    1,743.12x = 2,614.68 × 510.84
  4. Step 4: Simplify right side
    1,743.12x = 1,335,683.13
  5. Step 5: Solve for x
    x = 1,335,683.13/1,743.12
  6. Step 6: Final answer
    x = 766.26

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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.