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Finding the Fourth Proportional to 586.31, 878.31 and 312.30

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Solution

The fourth proportional to 586.31, 878.31 and 312.30 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 878.31 = 312.30 : x
  2. Step 2: Convert to fraction form
    586.31/878.31 = 312.30/x
  3. Step 3: Cross multiply
    586.31x = 878.31 × 312.30
  4. Step 4: Simplify right side
    586.31x = 274,296.21
  5. Step 5: Solve for x
    x = 274,296.21/586.31
  6. Step 6: Final answer
    x = 467.84

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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.