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Finding the Fourth Proportional to 854.55, 1,178.85 and 574.80

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Solution

The fourth proportional to 854.55, 1,178.85 and 574.80 is: 792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.55 : 1,178.85 = 574.80 : x
  2. Step 2: Convert to fraction form
    854.55/1,178.85 = 574.80/x
  3. Step 3: Cross multiply
    854.55x = 1,178.85 × 574.80
  4. Step 4: Simplify right side
    854.55x = 677,600.71
  5. Step 5: Solve for x
    x = 677,600.71/854.55
  6. Step 6: Final answer
    x = 792.93

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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.