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Finding the Fourth Proportional to 1,075.38, 1,483.02 and 743.28

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Solution

The fourth proportional to 1,075.38, 1,483.02 and 743.28 is: 1,025.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.38 : 1,483.02 = 743.28 : x
  2. Step 2: Convert to fraction form
    1,075.38/1,483.02 = 743.28/x
  3. Step 3: Cross multiply
    1,075.38x = 1,483.02 × 743.28
  4. Step 4: Simplify right side
    1,075.38x = 1,102,299.11
  5. Step 5: Solve for x
    x = 1,102,299.11/1,075.38
  6. Step 6: Final answer
    x = 1,025.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.