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Finding the Fourth Proportional to 1,323.32, 1,984.97 and 457.62

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Solution

The fourth proportional to 1,323.32, 1,984.97 and 457.62 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.32 : 1,984.97 = 457.62 : x
  2. Step 2: Convert to fraction form
    1,323.32/1,984.97 = 457.62/x
  3. Step 3: Cross multiply
    1,323.32x = 1,984.97 × 457.62
  4. Step 4: Simplify right side
    1,323.32x = 908,359.68
  5. Step 5: Solve for x
    x = 908,359.68/1,323.32
  6. Step 6: Final answer
    x = 686.42

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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.