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Finding the Fourth Proportional to 586.65, 878.09 and 312.06

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Solution

The fourth proportional to 586.65, 878.09 and 312.06 is: 467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.65 : 878.09 = 312.06 : x
  2. Step 2: Convert to fraction form
    586.65/878.09 = 312.06/x
  3. Step 3: Cross multiply
    586.65x = 878.09 × 312.06
  4. Step 4: Simplify right side
    586.65x = 274,015.21
  5. Step 5: Solve for x
    x = 274,015.21/586.65
  6. Step 6: Final answer
    x = 467.08

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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.