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Finding the Fourth Proportional to 500.12, 689.88 and 313.56

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Solution

The fourth proportional to 500.12, 689.88 and 313.56 is: 432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.12 : 689.88 = 313.56 : x
  2. Step 2: Convert to fraction form
    500.12/689.88 = 313.56/x
  3. Step 3: Cross multiply
    500.12x = 689.88 × 313.56
  4. Step 4: Simplify right side
    500.12x = 216,318.77
  5. Step 5: Solve for x
    x = 216,318.77/500.12
  6. Step 6: Final answer
    x = 432.53

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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.