Home / 1,056.03-1,458.51-822.78

Finding the Fourth Proportional to 1,056.03, 1,458.51 and 822.78

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Solution

The fourth proportional to 1,056.03, 1,458.51 and 822.78 is: 1,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.03 : 1,458.51 = 822.78 : x
  2. Step 2: Convert to fraction form
    1,056.03/1,458.51 = 822.78/x
  3. Step 3: Cross multiply
    1,056.03x = 1,458.51 × 822.78
  4. Step 4: Simplify right side
    1,056.03x = 1,200,032.86
  5. Step 5: Solve for x
    x = 1,200,032.86/1,056.03
  6. Step 6: Final answer
    x = 1,136.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.