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Finding the Fourth Proportional to 1,075.53, 1,612.05 and 880.86

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Solution

The fourth proportional to 1,075.53, 1,612.05 and 880.86 is: 1,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.53 : 1,612.05 = 880.86 : x
  2. Step 2: Convert to fraction form
    1,075.53/1,612.05 = 880.86/x
  3. Step 3: Cross multiply
    1,075.53x = 1,612.05 × 880.86
  4. Step 4: Simplify right side
    1,075.53x = 1,419,990.36
  5. Step 5: Solve for x
    x = 1,419,990.36/1,075.53
  6. Step 6: Final answer
    x = 1,320.27

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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.