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Finding the Fourth Proportional to 521.10, 719.04 and 311.13

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Solution

The fourth proportional to 521.10, 719.04 and 311.13 is: 429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.10 : 719.04 = 311.13 : x
  2. Step 2: Convert to fraction form
    521.10/719.04 = 311.13/x
  3. Step 3: Cross multiply
    521.10x = 719.04 × 311.13
  4. Step 4: Simplify right side
    521.10x = 223,714.92
  5. Step 5: Solve for x
    x = 223,714.92/521.10
  6. Step 6: Final answer
    x = 429.31

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Double scale
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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.