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Finding the Fourth Proportional to 528.28, 787.49 and 522.52

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Solution

The fourth proportional to 528.28, 787.49 and 522.52 is: 778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.28 : 787.49 = 522.52 : x
  2. Step 2: Convert to fraction form
    528.28/787.49 = 522.52/x
  3. Step 3: Cross multiply
    528.28x = 787.49 × 522.52
  4. Step 4: Simplify right side
    528.28x = 411,479.27
  5. Step 5: Solve for x
    x = 411,479.27/528.28
  6. Step 6: Final answer
    x = 778.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.