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Finding the Fourth Proportional to 591.32, 816.36 and 487.64

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Solution

The fourth proportional to 591.32, 816.36 and 487.64 is: 673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.32 : 816.36 = 487.64 : x
  2. Step 2: Convert to fraction form
    591.32/816.36 = 487.64/x
  3. Step 3: Cross multiply
    591.32x = 816.36 × 487.64
  4. Step 4: Simplify right side
    591.32x = 398,089.79
  5. Step 5: Solve for x
    x = 398,089.79/591.32
  6. Step 6: Final answer
    x = 673.22

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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.