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Finding the Fourth Proportional to 890.11, 1,228.36 and 497.09

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Solution

The fourth proportional to 890.11, 1,228.36 and 497.09 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.11 : 1,228.36 = 497.09 : x
  2. Step 2: Convert to fraction form
    890.11/1,228.36 = 497.09/x
  3. Step 3: Cross multiply
    890.11x = 1,228.36 × 497.09
  4. Step 4: Simplify right side
    890.11x = 610,598.09
  5. Step 5: Solve for x
    x = 610,598.09/890.11
  6. Step 6: Final answer
    x = 685.98

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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.