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Finding the Fourth Proportional to 889.95, 1,228.16 and 496.97

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Solution

The fourth proportional to 889.95, 1,228.16 and 496.97 is: 685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.95 : 1,228.16 = 496.97 : x
  2. Step 2: Convert to fraction form
    889.95/1,228.16 = 496.97/x
  3. Step 3: Cross multiply
    889.95x = 1,228.16 × 496.97
  4. Step 4: Simplify right side
    889.95x = 610,358.38
  5. Step 5: Solve for x
    x = 610,358.38/889.95
  6. Step 6: Final answer
    x = 685.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.