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Finding the Fourth Proportional to 455.52, 684.96 and 347.52

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Solution

The fourth proportional to 455.52, 684.96 and 347.52 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.52 : 684.96 = 347.52 : x
  2. Step 2: Convert to fraction form
    455.52/684.96 = 347.52/x
  3. Step 3: Cross multiply
    455.52x = 684.96 × 347.52
  4. Step 4: Simplify right side
    455.52x = 238,037.30
  5. Step 5: Solve for x
    x = 238,037.30/455.52
  6. Step 6: Final answer
    x = 522.56

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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.