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Finding the Fourth Proportional to 1,074.50, 1,610.38 and 457.48

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Solution

The fourth proportional to 1,074.50, 1,610.38 and 457.48 is: 685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.50 : 1,610.38 = 457.48 : x
  2. Step 2: Convert to fraction form
    1,074.50/1,610.38 = 457.48/x
  3. Step 3: Cross multiply
    1,074.50x = 1,610.38 × 457.48
  4. Step 4: Simplify right side
    1,074.50x = 736,716.64
  5. Step 5: Solve for x
    x = 736,716.64/1,074.50
  6. Step 6: Final answer
    x = 685.64

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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.