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Finding the Fourth Proportional to 425.67, 585.63 and 414.19

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Solution

The fourth proportional to 425.67, 585.63 and 414.19 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.67 : 585.63 = 414.19 : x
  2. Step 2: Convert to fraction form
    425.67/585.63 = 414.19/x
  3. Step 3: Cross multiply
    425.67x = 585.63 × 414.19
  4. Step 4: Simplify right side
    425.67x = 242,562.09
  5. Step 5: Solve for x
    x = 242,562.09/425.67
  6. Step 6: Final answer
    x = 569.84

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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.