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Finding the Fourth Proportional to 1,324.68, 1,986.86 and 350.86

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Solution

The fourth proportional to 1,324.68, 1,986.86 and 350.86 is: 526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.68 : 1,986.86 = 350.86 : x
  2. Step 2: Convert to fraction form
    1,324.68/1,986.86 = 350.86/x
  3. Step 3: Cross multiply
    1,324.68x = 1,986.86 × 350.86
  4. Step 4: Simplify right side
    1,324.68x = 697,109.70
  5. Step 5: Solve for x
    x = 697,109.70/1,324.68
  6. Step 6: Final answer
    x = 526.25

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1.5x scale

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.