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Finding the Fourth Proportional to 687.68, 948.42 and 501.80

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Solution

The fourth proportional to 687.68, 948.42 and 501.80 is: 692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.68 : 948.42 = 501.80 : x
  2. Step 2: Convert to fraction form
    687.68/948.42 = 501.80/x
  3. Step 3: Cross multiply
    687.68x = 948.42 × 501.80
  4. Step 4: Simplify right side
    687.68x = 475,917.16
  5. Step 5: Solve for x
    x = 475,917.16/687.68
  6. Step 6: Final answer
    x = 692.06

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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.