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Finding the Fourth Proportional to 680.51, 1,020.20 and 582.63

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Solution

The fourth proportional to 680.51, 1,020.20 and 582.63 is: 873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.51 : 1,020.20 = 582.63 : x
  2. Step 2: Convert to fraction form
    680.51/1,020.20 = 582.63/x
  3. Step 3: Cross multiply
    680.51x = 1,020.20 × 582.63
  4. Step 4: Simplify right side
    680.51x = 594,396.21
  5. Step 5: Solve for x
    x = 594,396.21/680.51
  6. Step 6: Final answer
    x = 873.46

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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.