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Finding the Fourth Proportional to 678.99, 1,018.01 and 370.99

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Solution

The fourth proportional to 678.99, 1,018.01 and 370.99 is: 556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.99 : 1,018.01 = 370.99 : x
  2. Step 2: Convert to fraction form
    678.99/1,018.01 = 370.99/x
  3. Step 3: Cross multiply
    678.99x = 1,018.01 × 370.99
  4. Step 4: Simplify right side
    678.99x = 377,671.53
  5. Step 5: Solve for x
    x = 377,671.53/678.99
  6. Step 6: Final answer
    x = 556.23

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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.