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Finding the Fourth Proportional to 857.54, 1,283.11 and 511.06

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Solution

The fourth proportional to 857.54, 1,283.11 and 511.06 is: 764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.54 : 1,283.11 = 511.06 : x
  2. Step 2: Convert to fraction form
    857.54/1,283.11 = 511.06/x
  3. Step 3: Cross multiply
    857.54x = 1,283.11 × 511.06
  4. Step 4: Simplify right side
    857.54x = 655,742.99
  5. Step 5: Solve for x
    x = 655,742.99/857.54
  6. Step 6: Final answer
    x = 764.68

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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.