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Finding the Fourth Proportional to 1,348.61, 1,860.17 and 850.77

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Solution

The fourth proportional to 1,348.61, 1,860.17 and 850.77 is: 1,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.61 : 1,860.17 = 850.77 : x
  2. Step 2: Convert to fraction form
    1,348.61/1,860.17 = 850.77/x
  3. Step 3: Cross multiply
    1,348.61x = 1,860.17 × 850.77
  4. Step 4: Simplify right side
    1,348.61x = 1,582,572.58
  5. Step 5: Solve for x
    x = 1,582,572.58/1,348.61
  6. Step 6: Final answer
    x = 1,173.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.