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Finding the Fourth Proportional to 478, 717.40 and 189.64

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Solution

The fourth proportional to 478, 717.40 and 189.64 is: 284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 717.40 = 189.64 : x
  2. Step 2: Convert to fraction form
    478/717.40 = 189.64/x
  3. Step 3: Cross multiply
    478x = 717.40 × 189.64
  4. Step 4: Simplify right side
    478x = 136,047.74
  5. Step 5: Solve for x
    x = 136,047.74/478
  6. Step 6: Final answer
    x = 284.62

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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.