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Finding the Fourth Proportional to 477.34, 656.54 and 383.88

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Solution

The fourth proportional to 477.34, 656.54 and 383.88 is: 528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.34 : 656.54 = 383.88 : x
  2. Step 2: Convert to fraction form
    477.34/656.54 = 383.88/x
  3. Step 3: Cross multiply
    477.34x = 656.54 × 383.88
  4. Step 4: Simplify right side
    477.34x = 252,036.72
  5. Step 5: Solve for x
    x = 252,036.72/477.34
  6. Step 6: Final answer
    x = 528.00

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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.