Home / 1,020.84-1,411.65-977.37

Finding the Fourth Proportional to 1,020.84, 1,411.65 and 977.37

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Solution

The fourth proportional to 1,020.84, 1,411.65 and 977.37 is: 1,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.84 : 1,411.65 = 977.37 : x
  2. Step 2: Convert to fraction form
    1,020.84/1,411.65 = 977.37/x
  3. Step 3: Cross multiply
    1,020.84x = 1,411.65 × 977.37
  4. Step 4: Simplify right side
    1,020.84x = 1,379,704.36
  5. Step 5: Solve for x
    x = 1,379,704.36/1,020.84
  6. Step 6: Final answer
    x = 1,351.54

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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.