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Finding the Fourth Proportional to 857.07, 1,284.37 and 466.74

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Solution

The fourth proportional to 857.07, 1,284.37 and 466.74 is: 699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.07 : 1,284.37 = 466.74 : x
  2. Step 2: Convert to fraction form
    857.07/1,284.37 = 466.74/x
  3. Step 3: Cross multiply
    857.07x = 1,284.37 × 466.74
  4. Step 4: Simplify right side
    857.07x = 599,465.69
  5. Step 5: Solve for x
    x = 599,465.69/857.07
  6. Step 6: Final answer
    x = 699.44

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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.