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Finding the Fourth Proportional to 478.75, 717.86 and 186.07

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Solution

The fourth proportional to 478.75, 717.86 and 186.07 is: 279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.75 : 717.86 = 186.07 : x
  2. Step 2: Convert to fraction form
    478.75/717.86 = 186.07/x
  3. Step 3: Cross multiply
    478.75x = 717.86 × 186.07
  4. Step 4: Simplify right side
    478.75x = 133,573.57
  5. Step 5: Solve for x
    x = 133,573.57/478.75
  6. Step 6: Final answer
    x = 279.00

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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.