Home / 1,416.42-2,123.76-491.58

Finding the Fourth Proportional to 1,416.42, 2,123.76 and 491.58

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Solution

The fourth proportional to 1,416.42, 2,123.76 and 491.58 is: 737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.42 : 2,123.76 = 491.58 : x
  2. Step 2: Convert to fraction form
    1,416.42/2,123.76 = 491.58/x
  3. Step 3: Cross multiply
    1,416.42x = 2,123.76 × 491.58
  4. Step 4: Simplify right side
    1,416.42x = 1,043,997.94
  5. Step 5: Solve for x
    x = 1,043,997.94/1,416.42
  6. Step 6: Final answer
    x = 737.07

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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.