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Finding the Fourth Proportional to 556.89, 835.34 and 313.65

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Solution

The fourth proportional to 556.89, 835.34 and 313.65 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.89 : 835.34 = 313.65 : x
  2. Step 2: Convert to fraction form
    556.89/835.34 = 313.65/x
  3. Step 3: Cross multiply
    556.89x = 835.34 × 313.65
  4. Step 4: Simplify right side
    556.89x = 262,002.82
  5. Step 5: Solve for x
    x = 262,002.82/556.89
  6. Step 6: Final answer
    x = 470.48

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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.