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Finding the Fourth Proportional to 978.21, 1,446.66 and 978.21

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Solution

The fourth proportional to 978.21, 1,446.66 and 978.21 is: 1,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.21 : 1,446.66 = 978.21 : x
  2. Step 2: Convert to fraction form
    978.21/1,446.66 = 978.21/x
  3. Step 3: Cross multiply
    978.21x = 1,446.66 × 978.21
  4. Step 4: Simplify right side
    978.21x = 1,415,137.28
  5. Step 5: Solve for x
    x = 1,415,137.28/978.21
  6. Step 6: Final answer
    x = 1,446.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.