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Finding the Fourth Proportional to 854.89, 1,179.70 and 540.20

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Solution

The fourth proportional to 854.89, 1,179.70 and 540.20 is: 745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.89 : 1,179.70 = 540.20 : x
  2. Step 2: Convert to fraction form
    854.89/1,179.70 = 540.20/x
  3. Step 3: Cross multiply
    854.89x = 1,179.70 × 540.20
  4. Step 4: Simplify right side
    854.89x = 637,275.54
  5. Step 5: Solve for x
    x = 637,275.54/854.89
  6. Step 6: Final answer
    x = 745.45

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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.