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Finding the Fourth Proportional to 990.94, 1,365.84 and 780.58

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Solution

The fourth proportional to 990.94, 1,365.84 and 780.58 is: 1,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.94 : 1,365.84 = 780.58 : x
  2. Step 2: Convert to fraction form
    990.94/1,365.84 = 780.58/x
  3. Step 3: Cross multiply
    990.94x = 1,365.84 × 780.58
  4. Step 4: Simplify right side
    990.94x = 1,066,147.39
  5. Step 5: Solve for x
    x = 1,066,147.39/990.94
  6. Step 6: Final answer
    x = 1,075.89

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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.