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Finding the Fourth Proportional to 785.40, 1,075.80 and 783.24

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Solution

The fourth proportional to 785.40, 1,075.80 and 783.24 is: 1,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.40 : 1,075.80 = 783.24 : x
  2. Step 2: Convert to fraction form
    785.40/1,075.80 = 783.24/x
  3. Step 3: Cross multiply
    785.40x = 1,075.80 × 783.24
  4. Step 4: Simplify right side
    785.40x = 842,609.59
  5. Step 5: Solve for x
    x = 842,609.59/785.40
  6. Step 6: Final answer
    x = 1,072.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.