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Finding the Fourth Proportional to 857.10, 1,284.28 and 775.09

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Solution

The fourth proportional to 857.10, 1,284.28 and 775.09 is: 1,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.10 : 1,284.28 = 775.09 : x
  2. Step 2: Convert to fraction form
    857.10/1,284.28 = 775.09/x
  3. Step 3: Cross multiply
    857.10x = 1,284.28 × 775.09
  4. Step 4: Simplify right side
    857.10x = 995,432.59
  5. Step 5: Solve for x
    x = 995,432.59/857.10
  6. Step 6: Final answer
    x = 1,161.40

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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.