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Finding the Fourth Proportional to 660.38, 911.35 and 380.67

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Solution

The fourth proportional to 660.38, 911.35 and 380.67 is: 525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.38 : 911.35 = 380.67 : x
  2. Step 2: Convert to fraction form
    660.38/911.35 = 380.67/x
  3. Step 3: Cross multiply
    660.38x = 911.35 × 380.67
  4. Step 4: Simplify right side
    660.38x = 346,928.35
  5. Step 5: Solve for x
    x = 346,928.35/660.38
  6. Step 6: Final answer
    x = 525.35

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Half scale
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Double scale
Find fourth proportional to 661.38, 912.73 and 381.67
Similar ratio
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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.