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Finding the Fourth Proportional to 1,322.64, 1,984.32 and 457.68

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Solution

The fourth proportional to 1,322.64, 1,984.32 and 457.68 is: 686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.64 : 1,984.32 = 457.68 : x
  2. Step 2: Convert to fraction form
    1,322.64/1,984.32 = 457.68/x
  3. Step 3: Cross multiply
    1,322.64x = 1,984.32 × 457.68
  4. Step 4: Simplify right side
    1,322.64x = 908,183.58
  5. Step 5: Solve for x
    x = 908,183.58/1,322.64
  6. Step 6: Final answer
    x = 686.64

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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.