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Finding the Fourth Proportional to 522.30, 782.46 and 453

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Solution

The fourth proportional to 522.30, 782.46 and 453 is: 678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.30 : 782.46 = 453 : x
  2. Step 2: Convert to fraction form
    522.30/782.46 = 453/x
  3. Step 3: Cross multiply
    522.30x = 782.46 × 453
  4. Step 4: Simplify right side
    522.30x = 354,454.38
  5. Step 5: Solve for x
    x = 354,454.38/522.30
  6. Step 6: Final answer
    x = 678.64

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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.