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Finding the Fourth Proportional to 500.29, 690.29 and 400.79

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Solution

The fourth proportional to 500.29, 690.29 and 400.79 is: 553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.29 : 690.29 = 400.79 : x
  2. Step 2: Convert to fraction form
    500.29/690.29 = 400.79/x
  3. Step 3: Cross multiply
    500.29x = 690.29 × 400.79
  4. Step 4: Simplify right side
    500.29x = 276,662.55
  5. Step 5: Solve for x
    x = 276,662.55/500.29
  6. Step 6: Final answer
    x = 553.01

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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.