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Finding the Fourth Proportional to 858.38, 1,184.46 and 504.20

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Solution

The fourth proportional to 858.38, 1,184.46 and 504.20 is: 695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.38 : 1,184.46 = 504.20 : x
  2. Step 2: Convert to fraction form
    858.38/1,184.46 = 504.20/x
  3. Step 3: Cross multiply
    858.38x = 1,184.46 × 504.20
  4. Step 4: Simplify right side
    858.38x = 597,204.73
  5. Step 5: Solve for x
    x = 597,204.73/858.38
  6. Step 6: Final answer
    x = 695.73

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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.