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Finding the Fourth Proportional to 1,186.02, 1,779.03 and 455.67

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Solution

The fourth proportional to 1,186.02, 1,779.03 and 455.67 is: 683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.02 : 1,779.03 = 455.67 : x
  2. Step 2: Convert to fraction form
    1,186.02/1,779.03 = 455.67/x
  3. Step 3: Cross multiply
    1,186.02x = 1,779.03 × 455.67
  4. Step 4: Simplify right side
    1,186.02x = 810,650.60
  5. Step 5: Solve for x
    x = 810,650.60/1,186.02
  6. Step 6: Final answer
    x = 683.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.