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Finding the Fourth Proportional to 853.56, 1,177.74 and 538.92

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Solution

The fourth proportional to 853.56, 1,177.74 and 538.92 is: 743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.56 : 1,177.74 = 538.92 : x
  2. Step 2: Convert to fraction form
    853.56/1,177.74 = 538.92/x
  3. Step 3: Cross multiply
    853.56x = 1,177.74 × 538.92
  4. Step 4: Simplify right side
    853.56x = 634,707.64
  5. Step 5: Solve for x
    x = 634,707.64/853.56
  6. Step 6: Final answer
    x = 743.60

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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.