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Finding the Fourth Proportional to 857, 1,287.23 and 511.01

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Solution

The fourth proportional to 857, 1,287.23 and 511.01 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    857 : 1,287.23 = 511.01 : x
  2. Step 2: Convert to fraction form
    857/1,287.23 = 511.01/x
  3. Step 3: Cross multiply
    857x = 1,287.23 × 511.01
  4. Step 4: Simplify right side
    857x = 657,784.85
  5. Step 5: Solve for x
    x = 657,784.85/857
  6. Step 6: Final answer
    x = 767.54

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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.