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Finding the Fourth Proportional to 521.09, 719.02 and 311.24

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Solution

The fourth proportional to 521.09, 719.02 and 311.24 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.09 : 719.02 = 311.24 : x
  2. Step 2: Convert to fraction form
    521.09/719.02 = 311.24/x
  3. Step 3: Cross multiply
    521.09x = 719.02 × 311.24
  4. Step 4: Simplify right side
    521.09x = 223,788.80
  5. Step 5: Solve for x
    x = 223,788.80/521.09
  6. Step 6: Final answer
    x = 429.47

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.