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Finding the Fourth Proportional to 556.90, 834.54 and 313.50

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Solution

The fourth proportional to 556.90, 834.54 and 313.50 is: 469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.90 : 834.54 = 313.50 : x
  2. Step 2: Convert to fraction form
    556.90/834.54 = 313.50/x
  3. Step 3: Cross multiply
    556.90x = 834.54 × 313.50
  4. Step 4: Simplify right side
    556.90x = 261,628.29
  5. Step 5: Solve for x
    x = 261,628.29/556.90
  6. Step 6: Final answer
    x = 469.79

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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.