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Finding the Fourth Proportional to 841.70, 1,263.36 and 380

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Solution

The fourth proportional to 841.70, 1,263.36 and 380 is: 570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.70 : 1,263.36 = 380 : x
  2. Step 2: Convert to fraction form
    841.70/1,263.36 = 380/x
  3. Step 3: Cross multiply
    841.70x = 1,263.36 × 380
  4. Step 4: Simplify right side
    841.70x = 480,076.80
  5. Step 5: Solve for x
    x = 480,076.80/841.70
  6. Step 6: Final answer
    x = 570.37

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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.