Home / 1,075.31-1,611.25-457.60

Finding the Fourth Proportional to 1,075.31, 1,611.25 and 457.60

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Solution

The fourth proportional to 1,075.31, 1,611.25 and 457.60 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.31 : 1,611.25 = 457.60 : x
  2. Step 2: Convert to fraction form
    1,075.31/1,611.25 = 457.60/x
  3. Step 3: Cross multiply
    1,075.31x = 1,611.25 × 457.60
  4. Step 4: Simplify right side
    1,075.31x = 737,302.83
  5. Step 5: Solve for x
    x = 737,302.83/1,075.31
  6. Step 6: Final answer
    x = 685.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.