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Finding the Fourth Proportional to 715.26, 1,073.34 and 509.34

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Solution

The fourth proportional to 715.26, 1,073.34 and 509.34 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.26 : 1,073.34 = 509.34 : x
  2. Step 2: Convert to fraction form
    715.26/1,073.34 = 509.34/x
  3. Step 3: Cross multiply
    715.26x = 1,073.34 × 509.34
  4. Step 4: Simplify right side
    715.26x = 546,695.00
  5. Step 5: Solve for x
    x = 546,695.00/715.26
  6. Step 6: Final answer
    x = 764.33

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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.