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Finding the Fourth Proportional to 978.12, 1,466.76 and 361.86

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Solution

The fourth proportional to 978.12, 1,466.76 and 361.86 is: 542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.12 : 1,466.76 = 361.86 : x
  2. Step 2: Convert to fraction form
    978.12/1,466.76 = 361.86/x
  3. Step 3: Cross multiply
    978.12x = 1,466.76 × 361.86
  4. Step 4: Simplify right side
    978.12x = 530,761.77
  5. Step 5: Solve for x
    x = 530,761.77/978.12
  6. Step 6: Final answer
    x = 542.63

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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.