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Finding the Fourth Proportional to 978.12, 1,466.64 and 400.68

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Solution

The fourth proportional to 978.12, 1,466.64 and 400.68 is: 600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.12 : 1,466.64 = 400.68 : x
  2. Step 2: Convert to fraction form
    978.12/1,466.64 = 400.68/x
  3. Step 3: Cross multiply
    978.12x = 1,466.64 × 400.68
  4. Step 4: Simplify right side
    978.12x = 587,653.32
  5. Step 5: Solve for x
    x = 587,653.32/978.12
  6. Step 6: Final answer
    x = 600.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.