Home / 1,284.53-1,926.32-462.59

Finding the Fourth Proportional to 1,284.53, 1,926.32 and 462.59

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Solution

The fourth proportional to 1,284.53, 1,926.32 and 462.59 is: 693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.53 : 1,926.32 = 462.59 : x
  2. Step 2: Convert to fraction form
    1,284.53/1,926.32 = 462.59/x
  3. Step 3: Cross multiply
    1,284.53x = 1,926.32 × 462.59
  4. Step 4: Simplify right side
    1,284.53x = 891,094.06
  5. Step 5: Solve for x
    x = 891,094.06/1,284.53
  6. Step 6: Final answer
    x = 693.71

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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.