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Finding the Fourth Proportional to 1,197.05, 1,651.91 and 665.93

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Solution

The fourth proportional to 1,197.05, 1,651.91 and 665.93 is: 918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.05 : 1,651.91 = 665.93 : x
  2. Step 2: Convert to fraction form
    1,197.05/1,651.91 = 665.93/x
  3. Step 3: Cross multiply
    1,197.05x = 1,651.91 × 665.93
  4. Step 4: Simplify right side
    1,197.05x = 1,100,044.84
  5. Step 5: Solve for x
    x = 1,100,044.84/1,197.05
  6. Step 6: Final answer
    x = 918.97

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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.