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Finding the Fourth Proportional to 1,184, 1,634.07 and 718.25

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Solution

The fourth proportional to 1,184, 1,634.07 and 718.25 is: 991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184 : 1,634.07 = 718.25 : x
  2. Step 2: Convert to fraction form
    1,184/1,634.07 = 718.25/x
  3. Step 3: Cross multiply
    1,184x = 1,634.07 × 718.25
  4. Step 4: Simplify right side
    1,184x = 1,173,670.78
  5. Step 5: Solve for x
    x = 1,173,670.78/1,184
  6. Step 6: Final answer
    x = 991.28

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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.