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Finding the Fourth Proportional to 521.82, 719.88 and 312

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Solution

The fourth proportional to 521.82, 719.88 and 312 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.82 : 719.88 = 312 : x
  2. Step 2: Convert to fraction form
    521.82/719.88 = 312/x
  3. Step 3: Cross multiply
    521.82x = 719.88 × 312
  4. Step 4: Simplify right side
    521.82x = 224,602.56
  5. Step 5: Solve for x
    x = 224,602.56/521.82
  6. Step 6: Final answer
    x = 430.42

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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.