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Finding the Fourth Proportional to 896.78, 1,345.35 and 622.10

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Solution

The fourth proportional to 896.78, 1,345.35 and 622.10 is: 933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.78 : 1,345.35 = 622.10 : x
  2. Step 2: Convert to fraction form
    896.78/1,345.35 = 622.10/x
  3. Step 3: Cross multiply
    896.78x = 1,345.35 × 622.10
  4. Step 4: Simplify right side
    896.78x = 836,942.24
  5. Step 5: Solve for x
    x = 836,942.24/896.78
  6. Step 6: Final answer
    x = 933.27

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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.