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Finding the Fourth Proportional to 848.26, 1,272.23 and 385.93

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Solution

The fourth proportional to 848.26, 1,272.23 and 385.93 is: 578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.26 : 1,272.23 = 385.93 : x
  2. Step 2: Convert to fraction form
    848.26/1,272.23 = 385.93/x
  3. Step 3: Cross multiply
    848.26x = 1,272.23 × 385.93
  4. Step 4: Simplify right side
    848.26x = 490,983.43
  5. Step 5: Solve for x
    x = 490,983.43/848.26
  6. Step 6: Final answer
    x = 578.82

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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.