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Finding the Fourth Proportional to 1,416.69, 2,124.19 and 539.25

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Solution

The fourth proportional to 1,416.69, 2,124.19 and 539.25 is: 808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.69 : 2,124.19 = 539.25 : x
  2. Step 2: Convert to fraction form
    1,416.69/2,124.19 = 539.25/x
  3. Step 3: Cross multiply
    1,416.69x = 2,124.19 × 539.25
  4. Step 4: Simplify right side
    1,416.69x = 1,145,469.46
  5. Step 5: Solve for x
    x = 1,145,469.46/1,416.69
  6. Step 6: Final answer
    x = 808.55

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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.