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Finding the Fourth Proportional to 522.31, 720.07 and 417.75

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Solution

The fourth proportional to 522.31, 720.07 and 417.75 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.31 : 720.07 = 417.75 : x
  2. Step 2: Convert to fraction form
    522.31/720.07 = 417.75/x
  3. Step 3: Cross multiply
    522.31x = 720.07 × 417.75
  4. Step 4: Simplify right side
    522.31x = 300,809.24
  5. Step 5: Solve for x
    x = 300,809.24/522.31
  6. Step 6: Final answer
    x = 575.92

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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.