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Finding the Fourth Proportional to 1,504.31, 2,075.29 and 874.62

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Solution

The fourth proportional to 1,504.31, 2,075.29 and 874.62 is: 1,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.31 : 2,075.29 = 874.62 : x
  2. Step 2: Convert to fraction form
    1,504.31/2,075.29 = 874.62/x
  3. Step 3: Cross multiply
    1,504.31x = 2,075.29 × 874.62
  4. Step 4: Simplify right side
    1,504.31x = 1,815,087.95
  5. Step 5: Solve for x
    x = 1,815,087.95/1,504.31
  6. Step 6: Final answer
    x = 1,206.60

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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.