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Finding the Fourth Proportional to 557.69, 835.73 and 313.88

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Solution

The fourth proportional to 557.69, 835.73 and 313.88 is: 470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 835.73 = 313.88 : x
  2. Step 2: Convert to fraction form
    557.69/835.73 = 313.88/x
  3. Step 3: Cross multiply
    557.69x = 835.73 × 313.88
  4. Step 4: Simplify right side
    557.69x = 262,317.36
  5. Step 5: Solve for x
    x = 262,317.36/557.69
  6. Step 6: Final answer
    x = 470.36

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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.