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Finding the Fourth Proportional to 890.69, 1,229.14 and 492.38

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Solution

The fourth proportional to 890.69, 1,229.14 and 492.38 is: 679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.69 : 1,229.14 = 492.38 : x
  2. Step 2: Convert to fraction form
    890.69/1,229.14 = 492.38/x
  3. Step 3: Cross multiply
    890.69x = 1,229.14 × 492.38
  4. Step 4: Simplify right side
    890.69x = 605,197.81
  5. Step 5: Solve for x
    x = 605,197.81/890.69
  6. Step 6: Final answer
    x = 679.47

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Double scale
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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.