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Finding the Fourth Proportional to 591.50, 816 and 405.20

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Solution

The fourth proportional to 591.50, 816 and 405.20 is: 558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.50 : 816 = 405.20 : x
  2. Step 2: Convert to fraction form
    591.50/816 = 405.20/x
  3. Step 3: Cross multiply
    591.50x = 816 × 405.20
  4. Step 4: Simplify right side
    591.50x = 330,643.20
  5. Step 5: Solve for x
    x = 330,643.20/591.50
  6. Step 6: Final answer
    x = 558.99

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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.