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Finding the Fourth Proportional to 1,452.81, 2,179.19 and 357.18

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Solution

The fourth proportional to 1,452.81, 2,179.19 and 357.18 is: 535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.81 : 2,179.19 = 357.18 : x
  2. Step 2: Convert to fraction form
    1,452.81/2,179.19 = 357.18/x
  3. Step 3: Cross multiply
    1,452.81x = 2,179.19 × 357.18
  4. Step 4: Simplify right side
    1,452.81x = 778,362.46
  5. Step 5: Solve for x
    x = 778,362.46/1,452.81
  6. Step 6: Final answer
    x = 535.76

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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.