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Finding the Fourth Proportional to 680.25, 1,020.83 and 436.95

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Solution

The fourth proportional to 680.25, 1,020.83 and 436.95 is: 655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.25 : 1,020.83 = 436.95 : x
  2. Step 2: Convert to fraction form
    680.25/1,020.83 = 436.95/x
  3. Step 3: Cross multiply
    680.25x = 1,020.83 × 436.95
  4. Step 4: Simplify right side
    680.25x = 446,055.31
  5. Step 5: Solve for x
    x = 446,055.31/680.25
  6. Step 6: Final answer
    x = 655.72

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Why These Related Problems?

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