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Finding the Fourth Proportional to 1,376.94, 2,065.54 and 452.50

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Solution

The fourth proportional to 1,376.94, 2,065.54 and 452.50 is: 678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.94 : 2,065.54 = 452.50 : x
  2. Step 2: Convert to fraction form
    1,376.94/2,065.54 = 452.50/x
  3. Step 3: Cross multiply
    1,376.94x = 2,065.54 × 452.50
  4. Step 4: Simplify right side
    1,376.94x = 934,650.55
  5. Step 5: Solve for x
    x = 934,650.55/1,376.94
  6. Step 6: Final answer
    x = 678.79

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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.