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Finding the Fourth Proportional to 438.40, 657.78 and 395.56

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Solution

The fourth proportional to 438.40, 657.78 and 395.56 is: 593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.40 : 657.78 = 395.56 : x
  2. Step 2: Convert to fraction form
    438.40/657.78 = 395.56/x
  3. Step 3: Cross multiply
    438.40x = 657.78 × 395.56
  4. Step 4: Simplify right side
    438.40x = 260,191.46
  5. Step 5: Solve for x
    x = 260,191.46/438.40
  6. Step 6: Final answer
    x = 593.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.