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Finding the Fourth Proportional to 745.74, 1,117.94 and 334.67

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Solution

The fourth proportional to 745.74, 1,117.94 and 334.67 is: 501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.74 : 1,117.94 = 334.67 : x
  2. Step 2: Convert to fraction form
    745.74/1,117.94 = 334.67/x
  3. Step 3: Cross multiply
    745.74x = 1,117.94 × 334.67
  4. Step 4: Simplify right side
    745.74x = 374,133.72
  5. Step 5: Solve for x
    x = 374,133.72/745.74
  6. Step 6: Final answer
    x = 501.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.