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Finding the Fourth Proportional to 477.36, 657.36 and 454.32

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Solution

The fourth proportional to 477.36, 657.36 and 454.32 is: 625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.36 : 657.36 = 454.32 : x
  2. Step 2: Convert to fraction form
    477.36/657.36 = 454.32/x
  3. Step 3: Cross multiply
    477.36x = 657.36 × 454.32
  4. Step 4: Simplify right side
    477.36x = 298,651.80
  5. Step 5: Solve for x
    x = 298,651.80/477.36
  6. Step 6: Final answer
    x = 625.63

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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.