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Finding the Fourth Proportional to 1,402.15, 2,103.50 and 477.76

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Solution

The fourth proportional to 1,402.15, 2,103.50 and 477.76 is: 716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.15 : 2,103.50 = 477.76 : x
  2. Step 2: Convert to fraction form
    1,402.15/2,103.50 = 477.76/x
  3. Step 3: Cross multiply
    1,402.15x = 2,103.50 × 477.76
  4. Step 4: Simplify right side
    1,402.15x = 1,004,972.82
  5. Step 5: Solve for x
    x = 1,004,972.82/1,402.15
  6. Step 6: Final answer
    x = 716.74

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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.