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Finding the Fourth Proportional to 483.66, 722.43 and 455.58

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Solution

The fourth proportional to 483.66, 722.43 and 455.58 is: 680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.66 : 722.43 = 455.58 : x
  2. Step 2: Convert to fraction form
    483.66/722.43 = 455.58/x
  3. Step 3: Cross multiply
    483.66x = 722.43 × 455.58
  4. Step 4: Simplify right side
    483.66x = 329,124.66
  5. Step 5: Solve for x
    x = 329,124.66/483.66
  6. Step 6: Final answer
    x = 680.49

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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.