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Finding the Fourth Proportional to 1,151.98, 1,719.76 and 1,111.48

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Solution

The fourth proportional to 1,151.98, 1,719.76 and 1,111.48 is: 1,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.98 : 1,719.76 = 1,111.48 : x
  2. Step 2: Convert to fraction form
    1,151.98/1,719.76 = 1,111.48/x
  3. Step 3: Cross multiply
    1,151.98x = 1,719.76 × 1,111.48
  4. Step 4: Simplify right side
    1,151.98x = 1,911,478.84
  5. Step 5: Solve for x
    x = 1,911,478.84/1,151.98
  6. Step 6: Final answer
    x = 1,659.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.