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Finding the Fourth Proportional to 557.67, 835.12 and 352.63

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Solution

The fourth proportional to 557.67, 835.12 and 352.63 is: 528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.67 : 835.12 = 352.63 : x
  2. Step 2: Convert to fraction form
    557.67/835.12 = 352.63/x
  3. Step 3: Cross multiply
    557.67x = 835.12 × 352.63
  4. Step 4: Simplify right side
    557.67x = 294,488.37
  5. Step 5: Solve for x
    x = 294,488.37/557.67
  6. Step 6: Final answer
    x = 528.07

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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.