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Finding the Fourth Proportional to 478.57, 717.25 and 259.19

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Solution

The fourth proportional to 478.57, 717.25 and 259.19 is: 388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.57 : 717.25 = 259.19 : x
  2. Step 2: Convert to fraction form
    478.57/717.25 = 259.19/x
  3. Step 3: Cross multiply
    478.57x = 717.25 × 259.19
  4. Step 4: Simplify right side
    478.57x = 185,904.03
  5. Step 5: Solve for x
    x = 185,904.03/478.57
  6. Step 6: Final answer
    x = 388.46

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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.