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Finding the Fourth Proportional to 1,184.19, 1,634.93 and 903.93

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Solution

The fourth proportional to 1,184.19, 1,634.93 and 903.93 is: 1,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.19 : 1,634.93 = 903.93 : x
  2. Step 2: Convert to fraction form
    1,184.19/1,634.93 = 903.93/x
  3. Step 3: Cross multiply
    1,184.19x = 1,634.93 × 903.93
  4. Step 4: Simplify right side
    1,184.19x = 1,477,857.76
  5. Step 5: Solve for x
    x = 1,477,857.76/1,184.19
  6. Step 6: Final answer
    x = 1,247.99

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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.