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Finding the Fourth Proportional to 614.84, 847.90 and 393.50

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Solution

The fourth proportional to 614.84, 847.90 and 393.50 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.84 : 847.90 = 393.50 : x
  2. Step 2: Convert to fraction form
    614.84/847.90 = 393.50/x
  3. Step 3: Cross multiply
    614.84x = 847.90 × 393.50
  4. Step 4: Simplify right side
    614.84x = 333,651.26
  5. Step 5: Solve for x
    x = 333,651.26/614.84
  6. Step 6: Final answer
    x = 542.67

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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.