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Finding the Fourth Proportional to 507.50, 700.07 and 310.67

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Solution

The fourth proportional to 507.50, 700.07 and 310.67 is: 428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.50 : 700.07 = 310.67 : x
  2. Step 2: Convert to fraction form
    507.50/700.07 = 310.67/x
  3. Step 3: Cross multiply
    507.50x = 700.07 × 310.67
  4. Step 4: Simplify right side
    507.50x = 217,485.69
  5. Step 5: Solve for x
    x = 217,485.69/507.50
  6. Step 6: Final answer
    x = 428.55

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