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Finding the Fourth Proportional to 1,330.82, 1,836.76 and 771.20

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Solution

The fourth proportional to 1,330.82, 1,836.76 and 771.20 is: 1,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.82 : 1,836.76 = 771.20 : x
  2. Step 2: Convert to fraction form
    1,330.82/1,836.76 = 771.20/x
  3. Step 3: Cross multiply
    1,330.82x = 1,836.76 × 771.20
  4. Step 4: Simplify right side
    1,330.82x = 1,416,509.31
  5. Step 5: Solve for x
    x = 1,416,509.31/1,330.82
  6. Step 6: Final answer
    x = 1,064.39

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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.