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Finding the Fourth Proportional to 499.35, 689.73 and 420.92

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Solution

The fourth proportional to 499.35, 689.73 and 420.92 is: 581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.35 : 689.73 = 420.92 : x
  2. Step 2: Convert to fraction form
    499.35/689.73 = 420.92/x
  3. Step 3: Cross multiply
    499.35x = 689.73 × 420.92
  4. Step 4: Simplify right side
    499.35x = 290,319.05
  5. Step 5: Solve for x
    x = 290,319.05/499.35
  6. Step 6: Final answer
    x = 581.40

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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.