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Finding the Fourth Proportional to 670.22, 1,005.68 and 285.38

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Solution

The fourth proportional to 670.22, 1,005.68 and 285.38 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.22 : 1,005.68 = 285.38 : x
  2. Step 2: Convert to fraction form
    670.22/1,005.68 = 285.38/x
  3. Step 3: Cross multiply
    670.22x = 1,005.68 × 285.38
  4. Step 4: Simplify right side
    670.22x = 286,996.64
  5. Step 5: Solve for x
    x = 286,996.64/670.22
  6. Step 6: Final answer
    x = 428.22

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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.