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Finding the Fourth Proportional to 460.49, 690.53 and 323.19

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Solution

The fourth proportional to 460.49, 690.53 and 323.19 is: 484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 690.53 = 323.19 : x
  2. Step 2: Convert to fraction form
    460.49/690.53 = 323.19/x
  3. Step 3: Cross multiply
    460.49x = 690.53 × 323.19
  4. Step 4: Simplify right side
    460.49x = 223,170.77
  5. Step 5: Solve for x
    x = 223,170.77/460.49
  6. Step 6: Final answer
    x = 484.64

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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.