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Finding the Fourth Proportional to 705.34, 1,055.79 and 484.67

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Solution

The fourth proportional to 705.34, 1,055.79 and 484.67 is: 725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.34 : 1,055.79 = 484.67 : x
  2. Step 2: Convert to fraction form
    705.34/1,055.79 = 484.67/x
  3. Step 3: Cross multiply
    705.34x = 1,055.79 × 484.67
  4. Step 4: Simplify right side
    705.34x = 511,709.74
  5. Step 5: Solve for x
    x = 511,709.74/705.34
  6. Step 6: Final answer
    x = 725.48

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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.