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Finding the Fourth Proportional to 990.22, 1,364.94 and 780.06

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Solution

The fourth proportional to 990.22, 1,364.94 and 780.06 is: 1,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.22 : 1,364.94 = 780.06 : x
  2. Step 2: Convert to fraction form
    990.22/1,364.94 = 780.06/x
  3. Step 3: Cross multiply
    990.22x = 1,364.94 × 780.06
  4. Step 4: Simplify right side
    990.22x = 1,064,735.10
  5. Step 5: Solve for x
    x = 1,064,735.10/990.22
  6. Step 6: Final answer
    x = 1,075.25

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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.