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Finding the Fourth Proportional to 1,139.76, 1,573.63 and 860.58

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Solution

The fourth proportional to 1,139.76, 1,573.63 and 860.58 is: 1,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.76 : 1,573.63 = 860.58 : x
  2. Step 2: Convert to fraction form
    1,139.76/1,573.63 = 860.58/x
  3. Step 3: Cross multiply
    1,139.76x = 1,573.63 × 860.58
  4. Step 4: Simplify right side
    1,139.76x = 1,354,232.35
  5. Step 5: Solve for x
    x = 1,354,232.35/1,139.76
  6. Step 6: Final answer
    x = 1,188.17

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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.