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Finding the Fourth Proportional to 499.86, 690.24 and 313.67

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Solution

The fourth proportional to 499.86, 690.24 and 313.67 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.86 : 690.24 = 313.67 : x
  2. Step 2: Convert to fraction form
    499.86/690.24 = 313.67/x
  3. Step 3: Cross multiply
    499.86x = 690.24 × 313.67
  4. Step 4: Simplify right side
    499.86x = 216,502.56
  5. Step 5: Solve for x
    x = 216,502.56/499.86
  6. Step 6: Final answer
    x = 433.13

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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.