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Finding the Fourth Proportional to 1,281.08, 1,919.79 and 632.27

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Solution

The fourth proportional to 1,281.08, 1,919.79 and 632.27 is: 947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.08 : 1,919.79 = 632.27 : x
  2. Step 2: Convert to fraction form
    1,281.08/1,919.79 = 632.27/x
  3. Step 3: Cross multiply
    1,281.08x = 1,919.79 × 632.27
  4. Step 4: Simplify right side
    1,281.08x = 1,213,816.02
  5. Step 5: Solve for x
    x = 1,213,816.02/1,281.08
  6. Step 6: Final answer
    x = 947.50

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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.