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Finding the Fourth Proportional to 851.78, 1,175.44 and 478.75

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Solution

The fourth proportional to 851.78, 1,175.44 and 478.75 is: 660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.78 : 1,175.44 = 478.75 : x
  2. Step 2: Convert to fraction form
    851.78/1,175.44 = 478.75/x
  3. Step 3: Cross multiply
    851.78x = 1,175.44 × 478.75
  4. Step 4: Simplify right side
    851.78x = 562,741.90
  5. Step 5: Solve for x
    x = 562,741.90/851.78
  6. Step 6: Final answer
    x = 660.67

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Double scale
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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.