Home / 1,743.05-2,613.97-510.14

Finding the Fourth Proportional to 1,743.05, 2,613.97 and 510.14

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Solution

The fourth proportional to 1,743.05, 2,613.97 and 510.14 is: 765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.05 : 2,613.97 = 510.14 : x
  2. Step 2: Convert to fraction form
    1,743.05/2,613.97 = 510.14/x
  3. Step 3: Cross multiply
    1,743.05x = 2,613.97 × 510.14
  4. Step 4: Simplify right side
    1,743.05x = 1,333,490.66
  5. Step 5: Solve for x
    x = 1,333,490.66/1,743.05
  6. Step 6: Final answer
    x = 765.03

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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.