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Finding the Fourth Proportional to 851.36, 1,174.86 and 478.34

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Solution

The fourth proportional to 851.36, 1,174.86 and 478.34 is: 660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.36 : 1,174.86 = 478.34 : x
  2. Step 2: Convert to fraction form
    851.36/1,174.86 = 478.34/x
  3. Step 3: Cross multiply
    851.36x = 1,174.86 × 478.34
  4. Step 4: Simplify right side
    851.36x = 561,982.53
  5. Step 5: Solve for x
    x = 561,982.53/851.36
  6. Step 6: Final answer
    x = 660.10

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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.