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Finding the Fourth Proportional to 494.64, 740.66 and 416.37

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Solution

The fourth proportional to 494.64, 740.66 and 416.37 is: 623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 740.66 = 416.37 : x
  2. Step 2: Convert to fraction form
    494.64/740.66 = 416.37/x
  3. Step 3: Cross multiply
    494.64x = 740.66 × 416.37
  4. Step 4: Simplify right side
    494.64x = 308,384.90
  5. Step 5: Solve for x
    x = 308,384.90/494.64
  6. Step 6: Final answer
    x = 623.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.