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Finding the Fourth Proportional to 857.97, 1,284.87 and 491.64

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Solution

The fourth proportional to 857.97, 1,284.87 and 491.64 is: 736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.97 : 1,284.87 = 491.64 : x
  2. Step 2: Convert to fraction form
    857.97/1,284.87 = 491.64/x
  3. Step 3: Cross multiply
    857.97x = 1,284.87 × 491.64
  4. Step 4: Simplify right side
    857.97x = 631,693.49
  5. Step 5: Solve for x
    x = 631,693.49/857.97
  6. Step 6: Final answer
    x = 736.27

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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.