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Finding the Fourth Proportional to 1,205, 1,798.17 and 1,075.40

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Solution

The fourth proportional to 1,205, 1,798.17 and 1,075.40 is: 1,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205 : 1,798.17 = 1,075.40 : x
  2. Step 2: Convert to fraction form
    1,205/1,798.17 = 1,075.40/x
  3. Step 3: Cross multiply
    1,205x = 1,798.17 × 1,075.40
  4. Step 4: Simplify right side
    1,205x = 1,933,752.02
  5. Step 5: Solve for x
    x = 1,933,752.02/1,205
  6. Step 6: Final answer
    x = 1,604.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.