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Finding the Fourth Proportional to 1,322.97, 1,984.46 and 457.35

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Solution

The fourth proportional to 1,322.97, 1,984.46 and 457.35 is: 686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.97 : 1,984.46 = 457.35 : x
  2. Step 2: Convert to fraction form
    1,322.97/1,984.46 = 457.35/x
  3. Step 3: Cross multiply
    1,322.97x = 1,984.46 × 457.35
  4. Step 4: Simplify right side
    1,322.97x = 907,590.49
  5. Step 5: Solve for x
    x = 907,590.49/1,322.97
  6. Step 6: Final answer
    x = 686.03

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Double scale
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Similar ratio
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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.