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Finding the Fourth Proportional to 496.45, 740.93 and 455.14

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Solution

The fourth proportional to 496.45, 740.93 and 455.14 is: 679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.45 : 740.93 = 455.14 : x
  2. Step 2: Convert to fraction form
    496.45/740.93 = 455.14/x
  3. Step 3: Cross multiply
    496.45x = 740.93 × 455.14
  4. Step 4: Simplify right side
    496.45x = 337,226.88
  5. Step 5: Solve for x
    x = 337,226.88/496.45
  6. Step 6: Final answer
    x = 679.28

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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.