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Finding the Fourth Proportional to 848.84, 1,272.06 and 361.40

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Solution

The fourth proportional to 848.84, 1,272.06 and 361.40 is: 541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.84 : 1,272.06 = 361.40 : x
  2. Step 2: Convert to fraction form
    848.84/1,272.06 = 361.40/x
  3. Step 3: Cross multiply
    848.84x = 1,272.06 × 361.40
  4. Step 4: Simplify right side
    848.84x = 459,722.48
  5. Step 5: Solve for x
    x = 459,722.48/848.84
  6. Step 6: Final answer
    x = 541.59

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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.