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Finding the Fourth Proportional to 719.38, 993.33 and 512.50

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Solution

The fourth proportional to 719.38, 993.33 and 512.50 is: 707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.38 : 993.33 = 512.50 : x
  2. Step 2: Convert to fraction form
    719.38/993.33 = 512.50/x
  3. Step 3: Cross multiply
    719.38x = 993.33 × 512.50
  4. Step 4: Simplify right side
    719.38x = 509,081.63
  5. Step 5: Solve for x
    x = 509,081.63/719.38
  6. Step 6: Final answer
    x = 707.67

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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.