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Finding the Fourth Proportional to 591.60, 885.64 and 438.20

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Solution

The fourth proportional to 591.60, 885.64 and 438.20 is: 656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.60 : 885.64 = 438.20 : x
  2. Step 2: Convert to fraction form
    591.60/885.64 = 438.20/x
  3. Step 3: Cross multiply
    591.60x = 885.64 × 438.20
  4. Step 4: Simplify right side
    591.60x = 388,087.45
  5. Step 5: Solve for x
    x = 388,087.45/591.60
  6. Step 6: Final answer
    x = 656.00

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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.