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Finding the Fourth Proportional to 841.96, 1,263.08 and 355.04

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Solution

The fourth proportional to 841.96, 1,263.08 and 355.04 is: 532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.96 : 1,263.08 = 355.04 : x
  2. Step 2: Convert to fraction form
    841.96/1,263.08 = 355.04/x
  3. Step 3: Cross multiply
    841.96x = 1,263.08 × 355.04
  4. Step 4: Simplify right side
    841.96x = 448,443.92
  5. Step 5: Solve for x
    x = 448,443.92/841.96
  6. Step 6: Final answer
    x = 532.62

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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.