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Finding the Fourth Proportional to 557.19, 835.11 and 313.65

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Solution

The fourth proportional to 557.19, 835.11 and 313.65 is: 470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.19 : 835.11 = 313.65 : x
  2. Step 2: Convert to fraction form
    557.19/835.11 = 313.65/x
  3. Step 3: Cross multiply
    557.19x = 835.11 × 313.65
  4. Step 4: Simplify right side
    557.19x = 261,932.25
  5. Step 5: Solve for x
    x = 261,932.25/557.19
  6. Step 6: Final answer
    x = 470.10

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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.