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Finding the Fourth Proportional to 454.68, 683.64 and 398.52

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Solution

The fourth proportional to 454.68, 683.64 and 398.52 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 683.64 = 398.52 : x
  2. Step 2: Convert to fraction form
    454.68/683.64 = 398.52/x
  3. Step 3: Cross multiply
    454.68x = 683.64 × 398.52
  4. Step 4: Simplify right side
    454.68x = 272,444.21
  5. Step 5: Solve for x
    x = 272,444.21/454.68
  6. Step 6: Final answer
    x = 599.20

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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.