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Finding the Fourth Proportional to 857.38, 1,284.84 and 424.03

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Solution

The fourth proportional to 857.38, 1,284.84 and 424.03 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.38 : 1,284.84 = 424.03 : x
  2. Step 2: Convert to fraction form
    857.38/1,284.84 = 424.03/x
  3. Step 3: Cross multiply
    857.38x = 1,284.84 × 424.03
  4. Step 4: Simplify right side
    857.38x = 544,810.71
  5. Step 5: Solve for x
    x = 544,810.71/857.38
  6. Step 6: Final answer
    x = 635.44

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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.