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Finding the Fourth Proportional to 853.23, 1,177.55 and 499.34

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Solution

The fourth proportional to 853.23, 1,177.55 and 499.34 is: 689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.23 : 1,177.55 = 499.34 : x
  2. Step 2: Convert to fraction form
    853.23/1,177.55 = 499.34/x
  3. Step 3: Cross multiply
    853.23x = 1,177.55 × 499.34
  4. Step 4: Simplify right side
    853.23x = 587,989.43
  5. Step 5: Solve for x
    x = 587,989.43/853.23
  6. Step 6: Final answer
    x = 689.13

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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.