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Finding the Fourth Proportional to 500.04, 689.86 and 300.86

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Solution

The fourth proportional to 500.04, 689.86 and 300.86 is: 415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.04 : 689.86 = 300.86 : x
  2. Step 2: Convert to fraction form
    500.04/689.86 = 300.86/x
  3. Step 3: Cross multiply
    500.04x = 689.86 × 300.86
  4. Step 4: Simplify right side
    500.04x = 207,551.28
  5. Step 5: Solve for x
    x = 207,551.28/500.04
  6. Step 6: Final answer
    x = 415.07

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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.