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Finding the Fourth Proportional to 851.02, 1,174.41 and 478.02

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Solution

The fourth proportional to 851.02, 1,174.41 and 478.02 is: 659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.02 : 1,174.41 = 478.02 : x
  2. Step 2: Convert to fraction form
    851.02/1,174.41 = 478.02/x
  3. Step 3: Cross multiply
    851.02x = 1,174.41 × 478.02
  4. Step 4: Simplify right side
    851.02x = 561,391.47
  5. Step 5: Solve for x
    x = 561,391.47/851.02
  6. Step 6: Final answer
    x = 659.67

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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.