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Finding the Fourth Proportional to 1,276.30, 1,913.80 and 582.49

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Solution

The fourth proportional to 1,276.30, 1,913.80 and 582.49 is: 873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.30 : 1,913.80 = 582.49 : x
  2. Step 2: Convert to fraction form
    1,276.30/1,913.80 = 582.49/x
  3. Step 3: Cross multiply
    1,276.30x = 1,913.80 × 582.49
  4. Step 4: Simplify right side
    1,276.30x = 1,114,769.36
  5. Step 5: Solve for x
    x = 1,114,769.36/1,276.30
  6. Step 6: Final answer
    x = 873.44

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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.