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Finding the Fourth Proportional to 500, 689.91 and 278.94

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Solution

The fourth proportional to 500, 689.91 and 278.94 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 689.91 = 278.94 : x
  2. Step 2: Convert to fraction form
    500/689.91 = 278.94/x
  3. Step 3: Cross multiply
    500x = 689.91 × 278.94
  4. Step 4: Simplify right side
    500x = 192,443.50
  5. Step 5: Solve for x
    x = 192,443.50/500
  6. Step 6: Final answer
    x = 384.89

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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.