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Finding the Fourth Proportional to 680.02, 1,018.80 and 474.19

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Solution

The fourth proportional to 680.02, 1,018.80 and 474.19 is: 710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.02 : 1,018.80 = 474.19 : x
  2. Step 2: Convert to fraction form
    680.02/1,018.80 = 474.19/x
  3. Step 3: Cross multiply
    680.02x = 1,018.80 × 474.19
  4. Step 4: Simplify right side
    680.02x = 483,102.23
  5. Step 5: Solve for x
    x = 483,102.23/680.02
  6. Step 6: Final answer
    x = 710.43

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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.