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Finding the Fourth Proportional to 1,281.68, 1,922.70 and 501.54

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Solution

The fourth proportional to 1,281.68, 1,922.70 and 501.54 is: 752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.68 : 1,922.70 = 501.54 : x
  2. Step 2: Convert to fraction form
    1,281.68/1,922.70 = 501.54/x
  3. Step 3: Cross multiply
    1,281.68x = 1,922.70 × 501.54
  4. Step 4: Simplify right side
    1,281.68x = 964,310.96
  5. Step 5: Solve for x
    x = 964,310.96/1,281.68
  6. Step 6: Final answer
    x = 752.38

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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.