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Finding the Fourth Proportional to 893.38, 1,340.22 and 345.64

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Solution

The fourth proportional to 893.38, 1,340.22 and 345.64 is: 518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.38 : 1,340.22 = 345.64 : x
  2. Step 2: Convert to fraction form
    893.38/1,340.22 = 345.64/x
  3. Step 3: Cross multiply
    893.38x = 1,340.22 × 345.64
  4. Step 4: Simplify right side
    893.38x = 463,233.64
  5. Step 5: Solve for x
    x = 463,233.64/893.38
  6. Step 6: Final answer
    x = 518.52

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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.