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Finding the Fourth Proportional to 492.75, 734.76 and 464.00

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Solution

The fourth proportional to 492.75, 734.76 and 464.00 is: 691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 734.76 = 464.00 : x
  2. Step 2: Convert to fraction form
    492.75/734.76 = 464.00/x
  3. Step 3: Cross multiply
    492.75x = 734.76 × 464.00
  4. Step 4: Simplify right side
    492.75x = 340,924.97
  5. Step 5: Solve for x
    x = 340,924.97/492.75
  6. Step 6: Final answer
    x = 691.88

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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.