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Finding the Fourth Proportional to 646.65, 892.39 and 351.93

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Solution

The fourth proportional to 646.65, 892.39 and 351.93 is: 485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.65 : 892.39 = 351.93 : x
  2. Step 2: Convert to fraction form
    646.65/892.39 = 351.93/x
  3. Step 3: Cross multiply
    646.65x = 892.39 × 351.93
  4. Step 4: Simplify right side
    646.65x = 314,058.81
  5. Step 5: Solve for x
    x = 314,058.81/646.65
  6. Step 6: Final answer
    x = 485.67

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