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Finding the Fourth Proportional to 1,148.49, 1,723.17 and 661.27

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Solution

The fourth proportional to 1,148.49, 1,723.17 and 661.27 is: 992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.49 : 1,723.17 = 661.27 : x
  2. Step 2: Convert to fraction form
    1,148.49/1,723.17 = 661.27/x
  3. Step 3: Cross multiply
    1,148.49x = 1,723.17 × 661.27
  4. Step 4: Simplify right side
    1,148.49x = 1,139,480.63
  5. Step 5: Solve for x
    x = 1,139,480.63/1,148.49
  6. Step 6: Final answer
    x = 992.16

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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.