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Finding the Fourth Proportional to 477.09, 719.21 and 445.77

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Solution

The fourth proportional to 477.09, 719.21 and 445.77 is: 672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.09 : 719.21 = 445.77 : x
  2. Step 2: Convert to fraction form
    477.09/719.21 = 445.77/x
  3. Step 3: Cross multiply
    477.09x = 719.21 × 445.77
  4. Step 4: Simplify right side
    477.09x = 320,603.36
  5. Step 5: Solve for x
    x = 320,603.36/477.09
  6. Step 6: Final answer
    x = 672.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.