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Finding the Fourth Proportional to 1,777.54, 2,666.31 and 479.14

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Solution

The fourth proportional to 1,777.54, 2,666.31 and 479.14 is: 718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.54 : 2,666.31 = 479.14 : x
  2. Step 2: Convert to fraction form
    1,777.54/2,666.31 = 479.14/x
  3. Step 3: Cross multiply
    1,777.54x = 2,666.31 × 479.14
  4. Step 4: Simplify right side
    1,777.54x = 1,277,535.77
  5. Step 5: Solve for x
    x = 1,277,535.77/1,777.54
  6. Step 6: Final answer
    x = 718.71

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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.