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Finding the Fourth Proportional to 978, 1,466.28 and 670.08

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Solution

The fourth proportional to 978, 1,466.28 and 670.08 is: 1,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    978 : 1,466.28 = 670.08 : x
  2. Step 2: Convert to fraction form
    978/1,466.28 = 670.08/x
  3. Step 3: Cross multiply
    978x = 1,466.28 × 670.08
  4. Step 4: Simplify right side
    978x = 982,524.90
  5. Step 5: Solve for x
    x = 982,524.90/978
  6. Step 6: Final answer
    x = 1,004.63

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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.