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Finding the Fourth Proportional to 1,347.60, 1,858.09 and 1,160.78

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Solution

The fourth proportional to 1,347.60, 1,858.09 and 1,160.78 is: 1,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.60 : 1,858.09 = 1,160.78 : x
  2. Step 2: Convert to fraction form
    1,347.60/1,858.09 = 1,160.78/x
  3. Step 3: Cross multiply
    1,347.60x = 1,858.09 × 1,160.78
  4. Step 4: Simplify right side
    1,347.60x = 2,156,821.52
  5. Step 5: Solve for x
    x = 2,156,821.52/1,347.60
  6. Step 6: Final answer
    x = 1,600.49

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1.5x scale

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.