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Finding the Fourth Proportional to 890.35, 1,228.84 and 654.64

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Solution

The fourth proportional to 890.35, 1,228.84 and 654.64 is: 903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.35 : 1,228.84 = 654.64 : x
  2. Step 2: Convert to fraction form
    890.35/1,228.84 = 654.64/x
  3. Step 3: Cross multiply
    890.35x = 1,228.84 × 654.64
  4. Step 4: Simplify right side
    890.35x = 804,443.11
  5. Step 5: Solve for x
    x = 804,443.11/890.35
  6. Step 6: Final answer
    x = 903.52

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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.