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Finding the Fourth Proportional to 522.39, 782.52 and 435.54

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Solution

The fourth proportional to 522.39, 782.52 and 435.54 is: 652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.39 : 782.52 = 435.54 : x
  2. Step 2: Convert to fraction form
    522.39/782.52 = 435.54/x
  3. Step 3: Cross multiply
    522.39x = 782.52 × 435.54
  4. Step 4: Simplify right side
    522.39x = 340,818.76
  5. Step 5: Solve for x
    x = 340,818.76/522.39
  6. Step 6: Final answer
    x = 652.42

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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.