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Finding the Fourth Proportional to 417.94, 576.84 and 319.52

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Solution

The fourth proportional to 417.94, 576.84 and 319.52 is: 441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.94 : 576.84 = 319.52 : x
  2. Step 2: Convert to fraction form
    417.94/576.84 = 319.52/x
  3. Step 3: Cross multiply
    417.94x = 576.84 × 319.52
  4. Step 4: Simplify right side
    417.94x = 184,311.92
  5. Step 5: Solve for x
    x = 184,311.92/417.94
  6. Step 6: Final answer
    x = 441.00

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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.