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Finding the Fourth Proportional to 478.35, 717.93 and 204.64

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Solution

The fourth proportional to 478.35, 717.93 and 204.64 is: 307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.35 : 717.93 = 204.64 : x
  2. Step 2: Convert to fraction form
    478.35/717.93 = 204.64/x
  3. Step 3: Cross multiply
    478.35x = 717.93 × 204.64
  4. Step 4: Simplify right side
    478.35x = 146,915.40
  5. Step 5: Solve for x
    x = 146,915.40/478.35
  6. Step 6: Final answer
    x = 307.13

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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.