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Finding the Fourth Proportional to 851.04, 1,174.32 and 478

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Solution

The fourth proportional to 851.04, 1,174.32 and 478 is: 659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.04 : 1,174.32 = 478 : x
  2. Step 2: Convert to fraction form
    851.04/1,174.32 = 478/x
  3. Step 3: Cross multiply
    851.04x = 1,174.32 × 478
  4. Step 4: Simplify right side
    851.04x = 561,324.96
  5. Step 5: Solve for x
    x = 561,324.96/851.04
  6. Step 6: Final answer
    x = 659.58

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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.