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Finding the Fourth Proportional to 680.53, 1,020.81 and 578.53

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Solution

The fourth proportional to 680.53, 1,020.81 and 578.53 is: 867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.53 : 1,020.81 = 578.53 : x
  2. Step 2: Convert to fraction form
    680.53/1,020.81 = 578.53/x
  3. Step 3: Cross multiply
    680.53x = 1,020.81 × 578.53
  4. Step 4: Simplify right side
    680.53x = 590,569.21
  5. Step 5: Solve for x
    x = 590,569.21/680.53
  6. Step 6: Final answer
    x = 867.81

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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.