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Finding the Fourth Proportional to 522.59, 782.45 and 400.28

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Solution

The fourth proportional to 522.59, 782.45 and 400.28 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.59 : 782.45 = 400.28 : x
  2. Step 2: Convert to fraction form
    522.59/782.45 = 400.28/x
  3. Step 3: Cross multiply
    522.59x = 782.45 × 400.28
  4. Step 4: Simplify right side
    522.59x = 313,199.09
  5. Step 5: Solve for x
    x = 313,199.09/522.59
  6. Step 6: Final answer
    x = 599.32

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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.