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Finding the Fourth Proportional to 1,075.25, 1,483.14 and 632.85

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Solution

The fourth proportional to 1,075.25, 1,483.14 and 632.85 is: 872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.25 : 1,483.14 = 632.85 : x
  2. Step 2: Convert to fraction form
    1,075.25/1,483.14 = 632.85/x
  3. Step 3: Cross multiply
    1,075.25x = 1,483.14 × 632.85
  4. Step 4: Simplify right side
    1,075.25x = 938,601.96
  5. Step 5: Solve for x
    x = 938,601.96/1,075.25
  6. Step 6: Final answer
    x = 872.91

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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.