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Finding the Fourth Proportional to 890.09, 1,228.37 and 497.04

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Solution

The fourth proportional to 890.09, 1,228.37 and 497.04 is: 685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.09 : 1,228.37 = 497.04 : x
  2. Step 2: Convert to fraction form
    890.09/1,228.37 = 497.04/x
  3. Step 3: Cross multiply
    890.09x = 1,228.37 × 497.04
  4. Step 4: Simplify right side
    890.09x = 610,541.93
  5. Step 5: Solve for x
    x = 610,541.93/890.09
  6. Step 6: Final answer
    x = 685.93

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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.