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Finding the Fourth Proportional to 715.52, 1,072.32 and 282.56

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Solution

The fourth proportional to 715.52, 1,072.32 and 282.56 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.52 : 1,072.32 = 282.56 : x
  2. Step 2: Convert to fraction form
    715.52/1,072.32 = 282.56/x
  3. Step 3: Cross multiply
    715.52x = 1,072.32 × 282.56
  4. Step 4: Simplify right side
    715.52x = 302,994.74
  5. Step 5: Solve for x
    x = 302,994.74/715.52
  6. Step 6: Final answer
    x = 423.46

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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.