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Finding the Fourth Proportional to 522.13, 787.33 and 512.41

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Solution

The fourth proportional to 522.13, 787.33 and 512.41 is: 772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.13 : 787.33 = 512.41 : x
  2. Step 2: Convert to fraction form
    522.13/787.33 = 512.41/x
  3. Step 3: Cross multiply
    522.13x = 787.33 × 512.41
  4. Step 4: Simplify right side
    522.13x = 403,435.77
  5. Step 5: Solve for x
    x = 403,435.77/522.13
  6. Step 6: Final answer
    x = 772.67

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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.