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Finding the Fourth Proportional to 683.63, 943.32 and 434.51

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Solution

The fourth proportional to 683.63, 943.32 and 434.51 is: 599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.63 : 943.32 = 434.51 : x
  2. Step 2: Convert to fraction form
    683.63/943.32 = 434.51/x
  3. Step 3: Cross multiply
    683.63x = 943.32 × 434.51
  4. Step 4: Simplify right side
    683.63x = 409,881.97
  5. Step 5: Solve for x
    x = 409,881.97/683.63
  6. Step 6: Final answer
    x = 599.57

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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.