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Finding the Fourth Proportional to 522.86, 721.50 and 313.06

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Solution

The fourth proportional to 522.86, 721.50 and 313.06 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 721.50 = 313.06 : x
  2. Step 2: Convert to fraction form
    522.86/721.50 = 313.06/x
  3. Step 3: Cross multiply
    522.86x = 721.50 × 313.06
  4. Step 4: Simplify right side
    522.86x = 225,872.79
  5. Step 5: Solve for x
    x = 225,872.79/522.86
  6. Step 6: Final answer
    x = 431.99

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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.