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Finding the Fourth Proportional to 853.51, 1,177.77 and 480.41

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Solution

The fourth proportional to 853.51, 1,177.77 and 480.41 is: 662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.51 : 1,177.77 = 480.41 : x
  2. Step 2: Convert to fraction form
    853.51/1,177.77 = 480.41/x
  3. Step 3: Cross multiply
    853.51x = 1,177.77 × 480.41
  4. Step 4: Simplify right side
    853.51x = 565,812.49
  5. Step 5: Solve for x
    x = 565,812.49/853.51
  6. Step 6: Final answer
    x = 662.92

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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.