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Finding the Fourth Proportional to 1,075.62, 1,617.07 and 859.01

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Solution

The fourth proportional to 1,075.62, 1,617.07 and 859.01 is: 1,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.62 : 1,617.07 = 859.01 : x
  2. Step 2: Convert to fraction form
    1,075.62/1,617.07 = 859.01/x
  3. Step 3: Cross multiply
    1,075.62x = 1,617.07 × 859.01
  4. Step 4: Simplify right side
    1,075.62x = 1,389,079.30
  5. Step 5: Solve for x
    x = 1,389,079.30/1,075.62
  6. Step 6: Final answer
    x = 1,291.43

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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.