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Finding the Fourth Proportional to 522.27, 720.15 and 356.57

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Solution

The fourth proportional to 522.27, 720.15 and 356.57 is: 491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 720.15 = 356.57 : x
  2. Step 2: Convert to fraction form
    522.27/720.15 = 356.57/x
  3. Step 3: Cross multiply
    522.27x = 720.15 × 356.57
  4. Step 4: Simplify right side
    522.27x = 256,783.89
  5. Step 5: Solve for x
    x = 256,783.89/522.27
  6. Step 6: Final answer
    x = 491.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.