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Finding the Fourth Proportional to 993.62, 1,491 and 377.76

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Solution

The fourth proportional to 993.62, 1,491 and 377.76 is: 566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.62 : 1,491 = 377.76 : x
  2. Step 2: Convert to fraction form
    993.62/1,491 = 377.76/x
  3. Step 3: Cross multiply
    993.62x = 1,491 × 377.76
  4. Step 4: Simplify right side
    993.62x = 563,240.16
  5. Step 5: Solve for x
    x = 563,240.16/993.62
  6. Step 6: Final answer
    x = 566.86

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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.