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Finding the Fourth Proportional to 670, 1,005.41 and 285.25

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Solution

The fourth proportional to 670, 1,005.41 and 285.25 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    670 : 1,005.41 = 285.25 : x
  2. Step 2: Convert to fraction form
    670/1,005.41 = 285.25/x
  3. Step 3: Cross multiply
    670x = 1,005.41 × 285.25
  4. Step 4: Simplify right side
    670x = 286,793.20
  5. Step 5: Solve for x
    x = 286,793.20/670
  6. Step 6: Final answer
    x = 428.05

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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.