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Finding the Fourth Proportional to 1,483.54, 2,225.27 and 387.95

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Solution

The fourth proportional to 1,483.54, 2,225.27 and 387.95 is: 581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.54 : 2,225.27 = 387.95 : x
  2. Step 2: Convert to fraction form
    1,483.54/2,225.27 = 387.95/x
  3. Step 3: Cross multiply
    1,483.54x = 2,225.27 × 387.95
  4. Step 4: Simplify right side
    1,483.54x = 863,283.34
  5. Step 5: Solve for x
    x = 863,283.34/1,483.54
  6. Step 6: Final answer
    x = 581.91

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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.