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Finding the Fourth Proportional to 1,209.76, 1,815.36 and 632.96

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Solution

The fourth proportional to 1,209.76, 1,815.36 and 632.96 is: 949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.76 : 1,815.36 = 632.96 : x
  2. Step 2: Convert to fraction form
    1,209.76/1,815.36 = 632.96/x
  3. Step 3: Cross multiply
    1,209.76x = 1,815.36 × 632.96
  4. Step 4: Simplify right side
    1,209.76x = 1,149,050.27
  5. Step 5: Solve for x
    x = 1,149,050.27/1,209.76
  6. Step 6: Final answer
    x = 949.82

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1.5x scale

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.