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Finding the Fourth Proportional to 688.60, 949.94 and 501.80

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Solution

The fourth proportional to 688.60, 949.94 and 501.80 is: 692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.60 : 949.94 = 501.80 : x
  2. Step 2: Convert to fraction form
    688.60/949.94 = 501.80/x
  3. Step 3: Cross multiply
    688.60x = 949.94 × 501.80
  4. Step 4: Simplify right side
    688.60x = 476,679.89
  5. Step 5: Solve for x
    x = 476,679.89/688.60
  6. Step 6: Final answer
    x = 692.24

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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.