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Finding the Fourth Proportional to 1,010.50, 1,515.78 and 523.30

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Solution

The fourth proportional to 1,010.50, 1,515.78 and 523.30 is: 784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.50 : 1,515.78 = 523.30 : x
  2. Step 2: Convert to fraction form
    1,010.50/1,515.78 = 523.30/x
  3. Step 3: Cross multiply
    1,010.50x = 1,515.78 × 523.30
  4. Step 4: Simplify right side
    1,010.50x = 793,207.67
  5. Step 5: Solve for x
    x = 793,207.67/1,010.50
  6. Step 6: Final answer
    x = 784.97

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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.