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Finding the Fourth Proportional to 556.41, 834.33 and 312.87

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Solution

The fourth proportional to 556.41, 834.33 and 312.87 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.41 : 834.33 = 312.87 : x
  2. Step 2: Convert to fraction form
    556.41/834.33 = 312.87/x
  3. Step 3: Cross multiply
    556.41x = 834.33 × 312.87
  4. Step 4: Simplify right side
    556.41x = 261,036.83
  5. Step 5: Solve for x
    x = 261,036.83/556.41
  6. Step 6: Final answer
    x = 469.14

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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.