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Finding the Fourth Proportional to 857.38, 1,284.45 and 424.84

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Solution

The fourth proportional to 857.38, 1,284.45 and 424.84 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.38 : 1,284.45 = 424.84 : x
  2. Step 2: Convert to fraction form
    857.38/1,284.45 = 424.84/x
  3. Step 3: Cross multiply
    857.38x = 1,284.45 × 424.84
  4. Step 4: Simplify right side
    857.38x = 545,685.74
  5. Step 5: Solve for x
    x = 545,685.74/857.38
  6. Step 6: Final answer
    x = 636.46

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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.