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Finding the Fourth Proportional to 1,138.08, 1,706.93 and 316.43

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Solution

The fourth proportional to 1,138.08, 1,706.93 and 316.43 is: 474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.08 : 1,706.93 = 316.43 : x
  2. Step 2: Convert to fraction form
    1,138.08/1,706.93 = 316.43/x
  3. Step 3: Cross multiply
    1,138.08x = 1,706.93 × 316.43
  4. Step 4: Simplify right side
    1,138.08x = 540,126.55
  5. Step 5: Solve for x
    x = 540,126.55/1,138.08
  6. Step 6: Final answer
    x = 474.60

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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.