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Finding the Fourth Proportional to 1,074.51, 1,483.11 and 632.57

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Solution

The fourth proportional to 1,074.51, 1,483.11 and 632.57 is: 873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.51 : 1,483.11 = 632.57 : x
  2. Step 2: Convert to fraction form
    1,074.51/1,483.11 = 632.57/x
  3. Step 3: Cross multiply
    1,074.51x = 1,483.11 × 632.57
  4. Step 4: Simplify right side
    1,074.51x = 938,163.48
  5. Step 5: Solve for x
    x = 938,163.48/1,074.51
  6. Step 6: Final answer
    x = 873.11

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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.