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Finding the Fourth Proportional to 1,011.33, 1,516.07 and 523.38

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Solution

The fourth proportional to 1,011.33, 1,516.07 and 523.38 is: 784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.33 : 1,516.07 = 523.38 : x
  2. Step 2: Convert to fraction form
    1,011.33/1,516.07 = 523.38/x
  3. Step 3: Cross multiply
    1,011.33x = 1,516.07 × 523.38
  4. Step 4: Simplify right side
    1,011.33x = 793,478.10
  5. Step 5: Solve for x
    x = 793,478.10/1,011.33
  6. Step 6: Final answer
    x = 784.59

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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.