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Finding the Fourth Proportional to 715.91, 1,074.41 and 524.03

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Solution

The fourth proportional to 715.91, 1,074.41 and 524.03 is: 786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.91 : 1,074.41 = 524.03 : x
  2. Step 2: Convert to fraction form
    715.91/1,074.41 = 524.03/x
  3. Step 3: Cross multiply
    715.91x = 1,074.41 × 524.03
  4. Step 4: Simplify right side
    715.91x = 563,020.45
  5. Step 5: Solve for x
    x = 563,020.45/715.91
  6. Step 6: Final answer
    x = 786.44

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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.