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Finding the Fourth Proportional to 659.56, 909.60 and 438.76

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Solution

The fourth proportional to 659.56, 909.60 and 438.76 is: 605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.56 : 909.60 = 438.76 : x
  2. Step 2: Convert to fraction form
    659.56/909.60 = 438.76/x
  3. Step 3: Cross multiply
    659.56x = 909.60 × 438.76
  4. Step 4: Simplify right side
    659.56x = 399,096.10
  5. Step 5: Solve for x
    x = 399,096.10/659.56
  6. Step 6: Final answer
    x = 605.09

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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.