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Finding the Fourth Proportional to 586.91, 878.99 and 465.25

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Solution

The fourth proportional to 586.91, 878.99 and 465.25 is: 696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.91 : 878.99 = 465.25 : x
  2. Step 2: Convert to fraction form
    586.91/878.99 = 465.25/x
  3. Step 3: Cross multiply
    586.91x = 878.99 × 465.25
  4. Step 4: Simplify right side
    586.91x = 408,950.10
  5. Step 5: Solve for x
    x = 408,950.10/586.91
  6. Step 6: Final answer
    x = 696.79

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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.