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Finding the Fourth Proportional to 605.60, 906.96 and 575.36

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Solution

The fourth proportional to 605.60, 906.96 and 575.36 is: 861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.60 : 906.96 = 575.36 : x
  2. Step 2: Convert to fraction form
    605.60/906.96 = 575.36/x
  3. Step 3: Cross multiply
    605.60x = 906.96 × 575.36
  4. Step 4: Simplify right side
    605.60x = 521,828.51
  5. Step 5: Solve for x
    x = 521,828.51/605.60
  6. Step 6: Final answer
    x = 861.67

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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.