Home / 1,218.94-1,829.54-561.17

Finding the Fourth Proportional to 1,218.94, 1,829.54 and 561.17

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Solution

The fourth proportional to 1,218.94, 1,829.54 and 561.17 is: 842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.94 : 1,829.54 = 561.17 : x
  2. Step 2: Convert to fraction form
    1,218.94/1,829.54 = 561.17/x
  3. Step 3: Cross multiply
    1,218.94x = 1,829.54 × 561.17
  4. Step 4: Simplify right side
    1,218.94x = 1,026,682.96
  5. Step 5: Solve for x
    x = 1,026,682.96/1,218.94
  6. Step 6: Final answer
    x = 842.28

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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.