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Finding the Fourth Proportional to 445.77, 614.39 and 421.07

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Solution

The fourth proportional to 445.77, 614.39 and 421.07 is: 580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.77 : 614.39 = 421.07 : x
  2. Step 2: Convert to fraction form
    445.77/614.39 = 421.07/x
  3. Step 3: Cross multiply
    445.77x = 614.39 × 421.07
  4. Step 4: Simplify right side
    445.77x = 258,696.02
  5. Step 5: Solve for x
    x = 258,696.02/445.77
  6. Step 6: Final answer
    x = 580.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.