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Finding the Fourth Proportional to 556.71, 834.76 and 313.51

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Solution

The fourth proportional to 556.71, 834.76 and 313.51 is: 470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.71 : 834.76 = 313.51 : x
  2. Step 2: Convert to fraction form
    556.71/834.76 = 313.51/x
  3. Step 3: Cross multiply
    556.71x = 834.76 × 313.51
  4. Step 4: Simplify right side
    556.71x = 261,699.87
  5. Step 5: Solve for x
    x = 261,699.87/556.71
  6. Step 6: Final answer
    x = 470.08

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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.