Home / 1,776.30-2,664.14-477.66

Finding the Fourth Proportional to 1,776.30, 2,664.14 and 477.66

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Solution

The fourth proportional to 1,776.30, 2,664.14 and 477.66 is: 716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.30 : 2,664.14 = 477.66 : x
  2. Step 2: Convert to fraction form
    1,776.30/2,664.14 = 477.66/x
  3. Step 3: Cross multiply
    1,776.30x = 2,664.14 × 477.66
  4. Step 4: Simplify right side
    1,776.30x = 1,272,553.11
  5. Step 5: Solve for x
    x = 1,272,553.11/1,776.30
  6. Step 6: Final answer
    x = 716.41

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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.