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Finding the Fourth Proportional to 522.72, 783.99 and 317.25

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Solution

The fourth proportional to 522.72, 783.99 and 317.25 is: 475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.72 : 783.99 = 317.25 : x
  2. Step 2: Convert to fraction form
    522.72/783.99 = 317.25/x
  3. Step 3: Cross multiply
    522.72x = 783.99 × 317.25
  4. Step 4: Simplify right side
    522.72x = 248,720.83
  5. Step 5: Solve for x
    x = 248,720.83/522.72
  6. Step 6: Final answer
    x = 475.82

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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.