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Finding the Fourth Proportional to 680.02, 1,019.71 and 474.82

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Solution

The fourth proportional to 680.02, 1,019.71 and 474.82 is: 712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.02 : 1,019.71 = 474.82 : x
  2. Step 2: Convert to fraction form
    680.02/1,019.71 = 474.82/x
  3. Step 3: Cross multiply
    680.02x = 1,019.71 × 474.82
  4. Step 4: Simplify right side
    680.02x = 484,178.70
  5. Step 5: Solve for x
    x = 484,178.70/680.02
  6. Step 6: Final answer
    x = 712.01

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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.