Home / 1,416.25-2,124.49-491.82

Finding the Fourth Proportional to 1,416.25, 2,124.49 and 491.82

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Solution

The fourth proportional to 1,416.25, 2,124.49 and 491.82 is: 737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.25 : 2,124.49 = 491.82 : x
  2. Step 2: Convert to fraction form
    1,416.25/2,124.49 = 491.82/x
  3. Step 3: Cross multiply
    1,416.25x = 2,124.49 × 491.82
  4. Step 4: Simplify right side
    1,416.25x = 1,044,866.67
  5. Step 5: Solve for x
    x = 1,044,866.67/1,416.25
  6. Step 6: Final answer
    x = 737.77

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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.