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Finding the Fourth Proportional to 994.74, 1,492.25 and 345.53

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Solution

The fourth proportional to 994.74, 1,492.25 and 345.53 is: 518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.74 : 1,492.25 = 345.53 : x
  2. Step 2: Convert to fraction form
    994.74/1,492.25 = 345.53/x
  3. Step 3: Cross multiply
    994.74x = 1,492.25 × 345.53
  4. Step 4: Simplify right side
    994.74x = 515,607.95
  5. Step 5: Solve for x
    x = 515,607.95/994.74
  6. Step 6: Final answer
    x = 518.33

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Double scale
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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.