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Finding the Fourth Proportional to 1,311.84, 1,968.03 and 1,007.55

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Solution

The fourth proportional to 1,311.84, 1,968.03 and 1,007.55 is: 1,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.84 : 1,968.03 = 1,007.55 : x
  2. Step 2: Convert to fraction form
    1,311.84/1,968.03 = 1,007.55/x
  3. Step 3: Cross multiply
    1,311.84x = 1,968.03 × 1,007.55
  4. Step 4: Simplify right side
    1,311.84x = 1,982,888.63
  5. Step 5: Solve for x
    x = 1,982,888.63/1,311.84
  6. Step 6: Final answer
    x = 1,511.53

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1.5x scale

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.