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Finding the Fourth Proportional to 1,402.21, 2,103.36 and 477.79

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Solution

The fourth proportional to 1,402.21, 2,103.36 and 477.79 is: 716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.21 : 2,103.36 = 477.79 : x
  2. Step 2: Convert to fraction form
    1,402.21/2,103.36 = 477.79/x
  3. Step 3: Cross multiply
    1,402.21x = 2,103.36 × 477.79
  4. Step 4: Simplify right side
    1,402.21x = 1,004,964.37
  5. Step 5: Solve for x
    x = 1,004,964.37/1,402.21
  6. Step 6: Final answer
    x = 716.70

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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.