Home / 1,416.28-2,123.12-491.51

Finding the Fourth Proportional to 1,416.28, 2,123.12 and 491.51

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Solution

The fourth proportional to 1,416.28, 2,123.12 and 491.51 is: 736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.28 : 2,123.12 = 491.51 : x
  2. Step 2: Convert to fraction form
    1,416.28/2,123.12 = 491.51/x
  3. Step 3: Cross multiply
    1,416.28x = 2,123.12 × 491.51
  4. Step 4: Simplify right side
    1,416.28x = 1,043,541.25
  5. Step 5: Solve for x
    x = 1,043,541.25/1,416.28
  6. Step 6: Final answer
    x = 736.82

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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.