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Finding the Fourth Proportional to 500.16, 690.28 and 313.68

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Solution

The fourth proportional to 500.16, 690.28 and 313.68 is: 432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.16 : 690.28 = 313.68 : x
  2. Step 2: Convert to fraction form
    500.16/690.28 = 313.68/x
  3. Step 3: Cross multiply
    500.16x = 690.28 × 313.68
  4. Step 4: Simplify right side
    500.16x = 216,527.03
  5. Step 5: Solve for x
    x = 216,527.03/500.16
  6. Step 6: Final answer
    x = 432.92

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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.