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Finding the Fourth Proportional to 613.32, 846.72 and 427.38

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Solution

The fourth proportional to 613.32, 846.72 and 427.38 is: 590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.32 : 846.72 = 427.38 : x
  2. Step 2: Convert to fraction form
    613.32/846.72 = 427.38/x
  3. Step 3: Cross multiply
    613.32x = 846.72 × 427.38
  4. Step 4: Simplify right side
    613.32x = 361,871.19
  5. Step 5: Solve for x
    x = 361,871.19/613.32
  6. Step 6: Final answer
    x = 590.02

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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.