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Finding the Fourth Proportional to 522.47, 779.28 and 453.44

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Solution

The fourth proportional to 522.47, 779.28 and 453.44 is: 676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.47 : 779.28 = 453.44 : x
  2. Step 2: Convert to fraction form
    522.47/779.28 = 453.44/x
  3. Step 3: Cross multiply
    522.47x = 779.28 × 453.44
  4. Step 4: Simplify right side
    522.47x = 353,354.46
  5. Step 5: Solve for x
    x = 353,354.46/522.47
  6. Step 6: Final answer
    x = 676.32

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1.5x scale

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.