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Finding the Fourth Proportional to 522.48, 787.62 and 480.72

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Solution

The fourth proportional to 522.48, 787.62 and 480.72 is: 724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.48 : 787.62 = 480.72 : x
  2. Step 2: Convert to fraction form
    522.48/787.62 = 480.72/x
  3. Step 3: Cross multiply
    522.48x = 787.62 × 480.72
  4. Step 4: Simplify right side
    522.48x = 378,624.69
  5. Step 5: Solve for x
    x = 378,624.69/522.48
  6. Step 6: Final answer
    x = 724.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.