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Finding the Fourth Proportional to 522.10, 782.54 and 290.87

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Solution

The fourth proportional to 522.10, 782.54 and 290.87 is: 435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.10 : 782.54 = 290.87 : x
  2. Step 2: Convert to fraction form
    522.10/782.54 = 290.87/x
  3. Step 3: Cross multiply
    522.10x = 782.54 × 290.87
  4. Step 4: Simplify right side
    522.10x = 227,617.91
  5. Step 5: Solve for x
    x = 227,617.91/522.10
  6. Step 6: Final answer
    x = 435.97

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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.