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Finding the Fourth Proportional to 1,657.69, 2,486.62 and 425.11

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Solution

The fourth proportional to 1,657.69, 2,486.62 and 425.11 is: 637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.69 : 2,486.62 = 425.11 : x
  2. Step 2: Convert to fraction form
    1,657.69/2,486.62 = 425.11/x
  3. Step 3: Cross multiply
    1,657.69x = 2,486.62 × 425.11
  4. Step 4: Simplify right side
    1,657.69x = 1,057,072.47
  5. Step 5: Solve for x
    x = 1,057,072.47/1,657.69
  6. Step 6: Final answer
    x = 637.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.