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Finding the Fourth Proportional to 994.16, 1,491.06 and 377.66

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Solution

The fourth proportional to 994.16, 1,491.06 and 377.66 is: 566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.16 : 1,491.06 = 377.66 : x
  2. Step 2: Convert to fraction form
    994.16/1,491.06 = 377.66/x
  3. Step 3: Cross multiply
    994.16x = 1,491.06 × 377.66
  4. Step 4: Simplify right side
    994.16x = 563,106.26
  5. Step 5: Solve for x
    x = 563,106.26/994.16
  6. Step 6: Final answer
    x = 566.42

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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.