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Finding the Fourth Proportional to 1,011.15, 1,513.49 and 523.53

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Solution

The fourth proportional to 1,011.15, 1,513.49 and 523.53 is: 783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.15 : 1,513.49 = 523.53 : x
  2. Step 2: Convert to fraction form
    1,011.15/1,513.49 = 523.53/x
  3. Step 3: Cross multiply
    1,011.15x = 1,513.49 × 523.53
  4. Step 4: Simplify right side
    1,011.15x = 792,354.80
  5. Step 5: Solve for x
    x = 792,354.80/1,011.15
  6. Step 6: Final answer
    x = 783.62

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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.