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Finding the Fourth Proportional to 943.65, 1,302.66 and 608.04

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Solution

The fourth proportional to 943.65, 1,302.66 and 608.04 is: 839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.65 : 1,302.66 = 608.04 : x
  2. Step 2: Convert to fraction form
    943.65/1,302.66 = 608.04/x
  3. Step 3: Cross multiply
    943.65x = 1,302.66 × 608.04
  4. Step 4: Simplify right side
    943.65x = 792,069.39
  5. Step 5: Solve for x
    x = 792,069.39/943.65
  6. Step 6: Final answer
    x = 839.37

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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.