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Finding the Fourth Proportional to 977.85, 1,466.71 and 361.44

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Solution

The fourth proportional to 977.85, 1,466.71 and 361.44 is: 542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.85 : 1,466.71 = 361.44 : x
  2. Step 2: Convert to fraction form
    977.85/1,466.71 = 361.44/x
  3. Step 3: Cross multiply
    977.85x = 1,466.71 × 361.44
  4. Step 4: Simplify right side
    977.85x = 530,125.86
  5. Step 5: Solve for x
    x = 530,125.86/977.85
  6. Step 6: Final answer
    x = 542.13

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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.