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Finding the Fourth Proportional to 853.74, 1,178.21 and 499.57

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Solution

The fourth proportional to 853.74, 1,178.21 and 499.57 is: 689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.74 : 1,178.21 = 499.57 : x
  2. Step 2: Convert to fraction form
    853.74/1,178.21 = 499.57/x
  3. Step 3: Cross multiply
    853.74x = 1,178.21 × 499.57
  4. Step 4: Simplify right side
    853.74x = 588,596.67
  5. Step 5: Solve for x
    x = 588,596.67/853.74
  6. Step 6: Final answer
    x = 689.43

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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.