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Finding the Fourth Proportional to 473.70, 664.80 and 473.70

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Solution

The fourth proportional to 473.70, 664.80 and 473.70 is: 664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.70 : 664.80 = 473.70 : x
  2. Step 2: Convert to fraction form
    473.70/664.80 = 473.70/x
  3. Step 3: Cross multiply
    473.70x = 664.80 × 473.70
  4. Step 4: Simplify right side
    473.70x = 314,915.76
  5. Step 5: Solve for x
    x = 314,915.76/473.70
  6. Step 6: Final answer
    x = 664.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.