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Finding the Fourth Proportional to 1,186.49, 1,779.74 and 778.21

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Solution

The fourth proportional to 1,186.49, 1,779.74 and 778.21 is: 1,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.49 : 1,779.74 = 778.21 : x
  2. Step 2: Convert to fraction form
    1,186.49/1,779.74 = 778.21/x
  3. Step 3: Cross multiply
    1,186.49x = 1,779.74 × 778.21
  4. Step 4: Simplify right side
    1,186.49x = 1,385,011.47
  5. Step 5: Solve for x
    x = 1,385,011.47/1,186.49
  6. Step 6: Final answer
    x = 1,167.32

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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.