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Finding the Fourth Proportional to 1,075.99, 1,612.44 and 612.81

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Solution

The fourth proportional to 1,075.99, 1,612.44 and 612.81 is: 918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.99 : 1,612.44 = 612.81 : x
  2. Step 2: Convert to fraction form
    1,075.99/1,612.44 = 612.81/x
  3. Step 3: Cross multiply
    1,075.99x = 1,612.44 × 612.81
  4. Step 4: Simplify right side
    1,075.99x = 988,120.89
  5. Step 5: Solve for x
    x = 988,120.89/1,075.99
  6. Step 6: Final answer
    x = 918.34

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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.