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Finding the Fourth Proportional to 1,516.78, 2,275.17 and 490.78

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Solution

The fourth proportional to 1,516.78, 2,275.17 and 490.78 is: 736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.78 : 2,275.17 = 490.78 : x
  2. Step 2: Convert to fraction form
    1,516.78/2,275.17 = 490.78/x
  3. Step 3: Cross multiply
    1,516.78x = 2,275.17 × 490.78
  4. Step 4: Simplify right side
    1,516.78x = 1,116,607.93
  5. Step 5: Solve for x
    x = 1,116,607.93/1,516.78
  6. Step 6: Final answer
    x = 736.17

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.