Home / 1,218.49-1,827.77-478.07

Finding the Fourth Proportional to 1,218.49, 1,827.77 and 478.07

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Solution

The fourth proportional to 1,218.49, 1,827.77 and 478.07 is: 717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.49 : 1,827.77 = 478.07 : x
  2. Step 2: Convert to fraction form
    1,218.49/1,827.77 = 478.07/x
  3. Step 3: Cross multiply
    1,218.49x = 1,827.77 × 478.07
  4. Step 4: Simplify right side
    1,218.49x = 873,802.00
  5. Step 5: Solve for x
    x = 873,802.00/1,218.49
  6. Step 6: Final answer
    x = 717.12

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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.