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Finding the Fourth Proportional to 646.36, 892.02 and 370.36

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Solution

The fourth proportional to 646.36, 892.02 and 370.36 is: 511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.36 : 892.02 = 370.36 : x
  2. Step 2: Convert to fraction form
    646.36/892.02 = 370.36/x
  3. Step 3: Cross multiply
    646.36x = 892.02 × 370.36
  4. Step 4: Simplify right side
    646.36x = 330,368.53
  5. Step 5: Solve for x
    x = 330,368.53/646.36
  6. Step 6: Final answer
    x = 511.12

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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.