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Finding the Fourth Proportional to 476.54, 657.87 and 398.78

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Solution

The fourth proportional to 476.54, 657.87 and 398.78 is: 550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.54 : 657.87 = 398.78 : x
  2. Step 2: Convert to fraction form
    476.54/657.87 = 398.78/x
  3. Step 3: Cross multiply
    476.54x = 657.87 × 398.78
  4. Step 4: Simplify right side
    476.54x = 262,345.40
  5. Step 5: Solve for x
    x = 262,345.40/476.54
  6. Step 6: Final answer
    x = 550.52

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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.