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Finding the Fourth Proportional to 715.24, 1,072.34 and 228.01

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Solution

The fourth proportional to 715.24, 1,072.34 and 228.01 is: 341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.24 : 1,072.34 = 228.01 : x
  2. Step 2: Convert to fraction form
    715.24/1,072.34 = 228.01/x
  3. Step 3: Cross multiply
    715.24x = 1,072.34 × 228.01
  4. Step 4: Simplify right side
    715.24x = 244,503.10
  5. Step 5: Solve for x
    x = 244,503.10/715.24
  6. Step 6: Final answer
    x = 341.85

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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.