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Finding the Fourth Proportional to 529.50, 734.10 and 500.34

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Solution

The fourth proportional to 529.50, 734.10 and 500.34 is: 693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 734.10 = 500.34 : x
  2. Step 2: Convert to fraction form
    529.50/734.10 = 500.34/x
  3. Step 3: Cross multiply
    529.50x = 734.10 × 500.34
  4. Step 4: Simplify right side
    529.50x = 367,299.59
  5. Step 5: Solve for x
    x = 367,299.59/529.50
  6. Step 6: Final answer
    x = 693.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.