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Finding the Fourth Proportional to 477.54, 657.99 and 384.39

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Solution

The fourth proportional to 477.54, 657.99 and 384.39 is: 529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.54 : 657.99 = 384.39 : x
  2. Step 2: Convert to fraction form
    477.54/657.99 = 384.39/x
  3. Step 3: Cross multiply
    477.54x = 657.99 × 384.39
  4. Step 4: Simplify right side
    477.54x = 252,924.78
  5. Step 5: Solve for x
    x = 252,924.78/477.54
  6. Step 6: Final answer
    x = 529.64

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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.