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Finding the Fourth Proportional to 500.67, 690.78 and 314.10

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Solution

The fourth proportional to 500.67, 690.78 and 314.10 is: 433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 690.78 = 314.10 : x
  2. Step 2: Convert to fraction form
    500.67/690.78 = 314.10/x
  3. Step 3: Cross multiply
    500.67x = 690.78 × 314.10
  4. Step 4: Simplify right side
    500.67x = 216,974.00
  5. Step 5: Solve for x
    x = 216,974.00/500.67
  6. Step 6: Final answer
    x = 433.37

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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.