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Finding the Fourth Proportional to 706.74, 974.72 and 540.66

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Solution

The fourth proportional to 706.74, 974.72 and 540.66 is: 745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.74 : 974.72 = 540.66 : x
  2. Step 2: Convert to fraction form
    706.74/974.72 = 540.66/x
  3. Step 3: Cross multiply
    706.74x = 974.72 × 540.66
  4. Step 4: Simplify right side
    706.74x = 526,992.12
  5. Step 5: Solve for x
    x = 526,992.12/706.74
  6. Step 6: Final answer
    x = 745.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.