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Finding the Fourth Proportional to 492.82, 734.57 and 455.90

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Solution

The fourth proportional to 492.82, 734.57 and 455.90 is: 679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.82 : 734.57 = 455.90 : x
  2. Step 2: Convert to fraction form
    492.82/734.57 = 455.90/x
  3. Step 3: Cross multiply
    492.82x = 734.57 × 455.90
  4. Step 4: Simplify right side
    492.82x = 334,886.22
  5. Step 5: Solve for x
    x = 334,886.22/492.82
  6. Step 6: Final answer
    x = 679.53

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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.