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Finding the Fourth Proportional to 890.58, 1,228.98 and 492.22

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Solution

The fourth proportional to 890.58, 1,228.98 and 492.22 is: 679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.58 : 1,228.98 = 492.22 : x
  2. Step 2: Convert to fraction form
    890.58/1,228.98 = 492.22/x
  3. Step 3: Cross multiply
    890.58x = 1,228.98 × 492.22
  4. Step 4: Simplify right side
    890.58x = 604,928.54
  5. Step 5: Solve for x
    x = 604,928.54/890.58
  6. Step 6: Final answer
    x = 679.25

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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.