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Finding the Fourth Proportional to 492.04, 678.64 and 455.12

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Solution

The fourth proportional to 492.04, 678.64 and 455.12 is: 627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.04 : 678.64 = 455.12 : x
  2. Step 2: Convert to fraction form
    492.04/678.64 = 455.12/x
  3. Step 3: Cross multiply
    492.04x = 678.64 × 455.12
  4. Step 4: Simplify right side
    492.04x = 308,862.64
  5. Step 5: Solve for x
    x = 308,862.64/492.04
  6. Step 6: Final answer
    x = 627.72

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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.