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Finding the Fourth Proportional to 449.30, 670.66 and 416.32

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Solution

The fourth proportional to 449.30, 670.66 and 416.32 is: 621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.30 : 670.66 = 416.32 : x
  2. Step 2: Convert to fraction form
    449.30/670.66 = 416.32/x
  3. Step 3: Cross multiply
    449.30x = 670.66 × 416.32
  4. Step 4: Simplify right side
    449.30x = 279,209.17
  5. Step 5: Solve for x
    x = 279,209.17/449.30
  6. Step 6: Final answer
    x = 621.43

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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.