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Finding the Fourth Proportional to 500.25, 690.40 and 313.75

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Solution

The fourth proportional to 500.25, 690.40 and 313.75 is: 433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 690.40 = 313.75 : x
  2. Step 2: Convert to fraction form
    500.25/690.40 = 313.75/x
  3. Step 3: Cross multiply
    500.25x = 690.40 × 313.75
  4. Step 4: Simplify right side
    500.25x = 216,611.43
  5. Step 5: Solve for x
    x = 216,611.43/500.25
  6. Step 6: Final answer
    x = 433.01

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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.