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Finding the Fourth Proportional to 1,074.91, 1,483.25 and 602.80

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Solution

The fourth proportional to 1,074.91, 1,483.25 and 602.80 is: 831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.91 : 1,483.25 = 602.80 : x
  2. Step 2: Convert to fraction form
    1,074.91/1,483.25 = 602.80/x
  3. Step 3: Cross multiply
    1,074.91x = 1,483.25 × 602.80
  4. Step 4: Simplify right side
    1,074.91x = 894,109.35
  5. Step 5: Solve for x
    x = 894,109.35/1,074.91
  6. Step 6: Final answer
    x = 831.80

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