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Finding the Fourth Proportional to 500.15, 689.79 and 313.29

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Solution

The fourth proportional to 500.15, 689.79 and 313.29 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.15 : 689.79 = 313.29 : x
  2. Step 2: Convert to fraction form
    500.15/689.79 = 313.29/x
  3. Step 3: Cross multiply
    500.15x = 689.79 × 313.29
  4. Step 4: Simplify right side
    500.15x = 216,104.31
  5. Step 5: Solve for x
    x = 216,104.31/500.15
  6. Step 6: Final answer
    x = 432.08

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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.