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Finding the Fourth Proportional to 1,675, 2,311.50 and 976.42

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Solution

The fourth proportional to 1,675, 2,311.50 and 976.42 is: 1,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675 : 2,311.50 = 976.42 : x
  2. Step 2: Convert to fraction form
    1,675/2,311.50 = 976.42/x
  3. Step 3: Cross multiply
    1,675x = 2,311.50 × 976.42
  4. Step 4: Simplify right side
    1,675x = 2,256,994.83
  5. Step 5: Solve for x
    x = 2,256,994.83/1,675
  6. Step 6: Final answer
    x = 1,347.46

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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.