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Finding the Fourth Proportional to 478.99, 717.54 and 406.90

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Solution

The fourth proportional to 478.99, 717.54 and 406.90 is: 609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.99 : 717.54 = 406.90 : x
  2. Step 2: Convert to fraction form
    478.99/717.54 = 406.90/x
  3. Step 3: Cross multiply
    478.99x = 717.54 × 406.90
  4. Step 4: Simplify right side
    478.99x = 291,967.03
  5. Step 5: Solve for x
    x = 291,967.03/478.99
  6. Step 6: Final answer
    x = 609.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.