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Finding the Fourth Proportional to 893.46, 1,340.20 and 345.64

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Solution

The fourth proportional to 893.46, 1,340.20 and 345.64 is: 518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.46 : 1,340.20 = 345.64 : x
  2. Step 2: Convert to fraction form
    893.46/1,340.20 = 345.64/x
  3. Step 3: Cross multiply
    893.46x = 1,340.20 × 345.64
  4. Step 4: Simplify right side
    893.46x = 463,226.73
  5. Step 5: Solve for x
    x = 463,226.73/893.46
  6. Step 6: Final answer
    x = 518.46

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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.