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Finding the Fourth Proportional to 978.60, 1,464.30 and 892.20

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Solution

The fourth proportional to 978.60, 1,464.30 and 892.20 is: 1,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.60 : 1,464.30 = 892.20 : x
  2. Step 2: Convert to fraction form
    978.60/1,464.30 = 892.20/x
  3. Step 3: Cross multiply
    978.60x = 1,464.30 × 892.20
  4. Step 4: Simplify right side
    978.60x = 1,306,448.46
  5. Step 5: Solve for x
    x = 1,306,448.46/978.60
  6. Step 6: Final answer
    x = 1,335.02

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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.