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Finding the Fourth Proportional to 626.24, 861.94 and 501.50

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Solution

The fourth proportional to 626.24, 861.94 and 501.50 is: 690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.24 : 861.94 = 501.50 : x
  2. Step 2: Convert to fraction form
    626.24/861.94 = 501.50/x
  3. Step 3: Cross multiply
    626.24x = 861.94 × 501.50
  4. Step 4: Simplify right side
    626.24x = 432,262.91
  5. Step 5: Solve for x
    x = 432,262.91/626.24
  6. Step 6: Final answer
    x = 690.25

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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.