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Finding the Fourth Proportional to 557.86, 770.44 and 381.64

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Solution

The fourth proportional to 557.86, 770.44 and 381.64 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 770.44 = 381.64 : x
  2. Step 2: Convert to fraction form
    557.86/770.44 = 381.64/x
  3. Step 3: Cross multiply
    557.86x = 770.44 × 381.64
  4. Step 4: Simplify right side
    557.86x = 294,030.72
  5. Step 5: Solve for x
    x = 294,030.72/557.86
  6. Step 6: Final answer
    x = 527.07

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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.