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Finding the Fourth Proportional to 557.35, 830.05 and 523.60

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Solution

The fourth proportional to 557.35, 830.05 and 523.60 is: 779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.35 : 830.05 = 523.60 : x
  2. Step 2: Convert to fraction form
    557.35/830.05 = 523.60/x
  3. Step 3: Cross multiply
    557.35x = 830.05 × 523.60
  4. Step 4: Simplify right side
    557.35x = 434,610.80
  5. Step 5: Solve for x
    x = 434,610.80/557.35
  6. Step 6: Final answer
    x = 779.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.