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Finding the Fourth Proportional to 598.74, 825.66 and 412.25

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Solution

The fourth proportional to 598.74, 825.66 and 412.25 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 825.66 = 412.25 : x
  2. Step 2: Convert to fraction form
    598.74/825.66 = 412.25/x
  3. Step 3: Cross multiply
    598.74x = 825.66 × 412.25
  4. Step 4: Simplify right side
    598.74x = 340,374.21
  5. Step 5: Solve for x
    x = 340,374.21/598.74
  6. Step 6: Final answer
    x = 568.48

Related Problems

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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.