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Finding the Fourth Proportional to 521.19, 719.24 and 311.46

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Solution

The fourth proportional to 521.19, 719.24 and 311.46 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.19 : 719.24 = 311.46 : x
  2. Step 2: Convert to fraction form
    521.19/719.24 = 311.46/x
  3. Step 3: Cross multiply
    521.19x = 719.24 × 311.46
  4. Step 4: Simplify right side
    521.19x = 224,012.93
  5. Step 5: Solve for x
    x = 224,012.93/521.19
  6. Step 6: Final answer
    x = 429.81

Related Problems

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Half scale
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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.