Home / 1,743.84-2,615.49-511.02

Finding the Fourth Proportional to 1,743.84, 2,615.49 and 511.02

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Solution

The fourth proportional to 1,743.84, 2,615.49 and 511.02 is: 766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.84 : 2,615.49 = 511.02 : x
  2. Step 2: Convert to fraction form
    1,743.84/2,615.49 = 511.02/x
  3. Step 3: Cross multiply
    1,743.84x = 2,615.49 × 511.02
  4. Step 4: Simplify right side
    1,743.84x = 1,336,567.70
  5. Step 5: Solve for x
    x = 1,336,567.70/1,743.84
  6. Step 6: Final answer
    x = 766.45

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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.