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Finding the Fourth Proportional to 1,011.26, 1,516.55 and 386.41

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Solution

The fourth proportional to 1,011.26, 1,516.55 and 386.41 is: 579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.26 : 1,516.55 = 386.41 : x
  2. Step 2: Convert to fraction form
    1,011.26/1,516.55 = 386.41/x
  3. Step 3: Cross multiply
    1,011.26x = 1,516.55 × 386.41
  4. Step 4: Simplify right side
    1,011.26x = 586,010.09
  5. Step 5: Solve for x
    x = 586,010.09/1,011.26
  6. Step 6: Final answer
    x = 579.49

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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.