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Finding the Fourth Proportional to 857.00, 1,283.40 and 490.68

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Solution

The fourth proportional to 857.00, 1,283.40 and 490.68 is: 734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.00 : 1,283.40 = 490.68 : x
  2. Step 2: Convert to fraction form
    857.00/1,283.40 = 490.68/x
  3. Step 3: Cross multiply
    857.00x = 1,283.40 × 490.68
  4. Step 4: Simplify right side
    857.00x = 629,738.71
  5. Step 5: Solve for x
    x = 629,738.71/857.00
  6. Step 6: Final answer
    x = 734.82

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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.