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Finding the Fourth Proportional to 557.58, 835.31 and 384.35

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Solution

The fourth proportional to 557.58, 835.31 and 384.35 is: 575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 835.31 = 384.35 : x
  2. Step 2: Convert to fraction form
    557.58/835.31 = 384.35/x
  3. Step 3: Cross multiply
    557.58x = 835.31 × 384.35
  4. Step 4: Simplify right side
    557.58x = 321,048.18
  5. Step 5: Solve for x
    x = 321,048.18/557.58
  6. Step 6: Final answer
    x = 575.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.