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Finding the Fourth Proportional to 614.51, 919.59 and 450.17

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Solution

The fourth proportional to 614.51, 919.59 and 450.17 is: 673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.51 : 919.59 = 450.17 : x
  2. Step 2: Convert to fraction form
    614.51/919.59 = 450.17/x
  3. Step 3: Cross multiply
    614.51x = 919.59 × 450.17
  4. Step 4: Simplify right side
    614.51x = 413,967.23
  5. Step 5: Solve for x
    x = 413,967.23/614.51
  6. Step 6: Final answer
    x = 673.66

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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.