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Finding the Fourth Proportional to 1,287.94, 1,927.76 and 849.56

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Solution

The fourth proportional to 1,287.94, 1,927.76 and 849.56 is: 1,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.94 : 1,927.76 = 849.56 : x
  2. Step 2: Convert to fraction form
    1,287.94/1,927.76 = 849.56/x
  3. Step 3: Cross multiply
    1,287.94x = 1,927.76 × 849.56
  4. Step 4: Simplify right side
    1,287.94x = 1,637,747.79
  5. Step 5: Solve for x
    x = 1,637,747.79/1,287.94
  6. Step 6: Final answer
    x = 1,271.60

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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.