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Finding the Fourth Proportional to 994.36, 1,491.54 and 345

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Solution

The fourth proportional to 994.36, 1,491.54 and 345 is: 517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.36 : 1,491.54 = 345 : x
  2. Step 2: Convert to fraction form
    994.36/1,491.54 = 345/x
  3. Step 3: Cross multiply
    994.36x = 1,491.54 × 345
  4. Step 4: Simplify right side
    994.36x = 514,581.30
  5. Step 5: Solve for x
    x = 514,581.30/994.36
  6. Step 6: Final answer
    x = 517.50

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Half scale
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Double scale
Find fourth proportional to 995.36, 1,493.04 and 346
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.