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Finding the Fourth Proportional to 598.45, 826.23 and 412.27

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Solution

The fourth proportional to 598.45, 826.23 and 412.27 is: 569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.45 : 826.23 = 412.27 : x
  2. Step 2: Convert to fraction form
    598.45/826.23 = 412.27/x
  3. Step 3: Cross multiply
    598.45x = 826.23 × 412.27
  4. Step 4: Simplify right side
    598.45x = 340,629.84
  5. Step 5: Solve for x
    x = 340,629.84/598.45
  6. Step 6: Final answer
    x = 569.19

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.