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Finding the Fourth Proportional to 830.49, 1,245.74 and 283.07

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Solution

The fourth proportional to 830.49, 1,245.74 and 283.07 is: 424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.49 : 1,245.74 = 283.07 : x
  2. Step 2: Convert to fraction form
    830.49/1,245.74 = 283.07/x
  3. Step 3: Cross multiply
    830.49x = 1,245.74 × 283.07
  4. Step 4: Simplify right side
    830.49x = 352,623.98
  5. Step 5: Solve for x
    x = 352,623.98/830.49
  6. Step 6: Final answer
    x = 424.60

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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.