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Finding the Fourth Proportional to 491.45, 733.20 and 442.24

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Solution

The fourth proportional to 491.45, 733.20 and 442.24 is: 659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.45 : 733.20 = 442.24 : x
  2. Step 2: Convert to fraction form
    491.45/733.20 = 442.24/x
  3. Step 3: Cross multiply
    491.45x = 733.20 × 442.24
  4. Step 4: Simplify right side
    491.45x = 324,253.49
  5. Step 5: Solve for x
    x = 324,253.49/491.45
  6. Step 6: Final answer
    x = 659.79

Related Problems

Find fourth proportional to 245.73, 366.60 and 221.12
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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.