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Finding the Fourth Proportional to 500.43, 690.13 and 313.86

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Solution

The fourth proportional to 500.43, 690.13 and 313.86 is: 432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.43 : 690.13 = 313.86 : x
  2. Step 2: Convert to fraction form
    500.43/690.13 = 313.86/x
  3. Step 3: Cross multiply
    500.43x = 690.13 × 313.86
  4. Step 4: Simplify right side
    500.43x = 216,602.63
  5. Step 5: Solve for x
    x = 216,602.63/500.43
  6. Step 6: Final answer
    x = 432.83

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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.