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Finding the Fourth Proportional to 591.21, 885.60 and 522.90

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Solution

The fourth proportional to 591.21, 885.60 and 522.90 is: 783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.21 : 885.60 = 522.90 : x
  2. Step 2: Convert to fraction form
    591.21/885.60 = 522.90/x
  3. Step 3: Cross multiply
    591.21x = 885.60 × 522.90
  4. Step 4: Simplify right side
    591.21x = 463,080.24
  5. Step 5: Solve for x
    x = 463,080.24/591.21
  6. Step 6: Final answer
    x = 783.28

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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.