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Finding the Fourth Proportional to 504.18, 693.90 and 475.80

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Solution

The fourth proportional to 504.18, 693.90 and 475.80 is: 654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.18 : 693.90 = 475.80 : x
  2. Step 2: Convert to fraction form
    504.18/693.90 = 475.80/x
  3. Step 3: Cross multiply
    504.18x = 693.90 × 475.80
  4. Step 4: Simplify right side
    504.18x = 330,157.62
  5. Step 5: Solve for x
    x = 330,157.62/504.18
  6. Step 6: Final answer
    x = 654.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.