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Finding the Fourth Proportional to 680.42, 1,019.81 and 473.87

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Solution

The fourth proportional to 680.42, 1,019.81 and 473.87 is: 710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.42 : 1,019.81 = 473.87 : x
  2. Step 2: Convert to fraction form
    680.42/1,019.81 = 473.87/x
  3. Step 3: Cross multiply
    680.42x = 1,019.81 × 473.87
  4. Step 4: Simplify right side
    680.42x = 483,249.90
  5. Step 5: Solve for x
    x = 483,249.90/680.42
  6. Step 6: Final answer
    x = 710.23

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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.