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Finding the Fourth Proportional to 648.34, 894.42 and 412

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Solution

The fourth proportional to 648.34, 894.42 and 412 is: 568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.34 : 894.42 = 412 : x
  2. Step 2: Convert to fraction form
    648.34/894.42 = 412/x
  3. Step 3: Cross multiply
    648.34x = 894.42 × 412
  4. Step 4: Simplify right side
    648.34x = 368,501.04
  5. Step 5: Solve for x
    x = 368,501.04/648.34
  6. Step 6: Final answer
    x = 568.38

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.