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Finding the Fourth Proportional to 1,068.77, 1,474.64 and 649.11

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Solution

The fourth proportional to 1,068.77, 1,474.64 and 649.11 is: 895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.77 : 1,474.64 = 649.11 : x
  2. Step 2: Convert to fraction form
    1,068.77/1,474.64 = 649.11/x
  3. Step 3: Cross multiply
    1,068.77x = 1,474.64 × 649.11
  4. Step 4: Simplify right side
    1,068.77x = 957,196.20
  5. Step 5: Solve for x
    x = 957,196.20/1,068.77
  6. Step 6: Final answer
    x = 895.61

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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.