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Finding the Fourth Proportional to 491.27, 677.70 and 304.76

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Solution

The fourth proportional to 491.27, 677.70 and 304.76 is: 420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.27 : 677.70 = 304.76 : x
  2. Step 2: Convert to fraction form
    491.27/677.70 = 304.76/x
  3. Step 3: Cross multiply
    491.27x = 677.70 × 304.76
  4. Step 4: Simplify right side
    491.27x = 206,537.55
  5. Step 5: Solve for x
    x = 206,537.55/491.27
  6. Step 6: Final answer
    x = 420.42

Related Problems

Find fourth proportional to 245.63, 338.85 and 152.38
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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.