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Finding the Fourth Proportional to 504.45, 694.89 and 421.53

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Solution

The fourth proportional to 504.45, 694.89 and 421.53 is: 580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.45 : 694.89 = 421.53 : x
  2. Step 2: Convert to fraction form
    504.45/694.89 = 421.53/x
  3. Step 3: Cross multiply
    504.45x = 694.89 × 421.53
  4. Step 4: Simplify right side
    504.45x = 292,916.98
  5. Step 5: Solve for x
    x = 292,916.98/504.45
  6. Step 6: Final answer
    x = 580.67

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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.