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Finding the Fourth Proportional to 625.59, 861.64 and 586.37

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Solution

The fourth proportional to 625.59, 861.64 and 586.37 is: 807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.59 : 861.64 = 586.37 : x
  2. Step 2: Convert to fraction form
    625.59/861.64 = 586.37/x
  3. Step 3: Cross multiply
    625.59x = 861.64 × 586.37
  4. Step 4: Simplify right side
    625.59x = 505,240.53
  5. Step 5: Solve for x
    x = 505,240.53/625.59
  6. Step 6: Final answer
    x = 807.62

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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.