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Finding the Fourth Proportional to 455.78, 627.54 and 362.22

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Solution

The fourth proportional to 455.78, 627.54 and 362.22 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.78 : 627.54 = 362.22 : x
  2. Step 2: Convert to fraction form
    455.78/627.54 = 362.22/x
  3. Step 3: Cross multiply
    455.78x = 627.54 × 362.22
  4. Step 4: Simplify right side
    455.78x = 227,307.54
  5. Step 5: Solve for x
    x = 227,307.54/455.78
  6. Step 6: Final answer
    x = 498.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.