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Finding the Fourth Proportional to 1,130.76, 1,697.76 and 1,111.32

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Solution

The fourth proportional to 1,130.76, 1,697.76 and 1,111.32 is: 1,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.76 : 1,697.76 = 1,111.32 : x
  2. Step 2: Convert to fraction form
    1,130.76/1,697.76 = 1,111.32/x
  3. Step 3: Cross multiply
    1,130.76x = 1,697.76 × 1,111.32
  4. Step 4: Simplify right side
    1,130.76x = 1,886,754.64
  5. Step 5: Solve for x
    x = 1,886,754.64/1,130.76
  6. Step 6: Final answer
    x = 1,668.57

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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.