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Finding the Fourth Proportional to 978.27, 1,466.88 and 361.86

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Solution

The fourth proportional to 978.27, 1,466.88 and 361.86 is: 542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.27 : 1,466.88 = 361.86 : x
  2. Step 2: Convert to fraction form
    978.27/1,466.88 = 361.86/x
  3. Step 3: Cross multiply
    978.27x = 1,466.88 × 361.86
  4. Step 4: Simplify right side
    978.27x = 530,797.86
  5. Step 5: Solve for x
    x = 530,797.86/978.27
  6. Step 6: Final answer
    x = 542.59

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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.