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Finding the Fourth Proportional to 522.40, 720.91 and 312.58

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Solution

The fourth proportional to 522.40, 720.91 and 312.58 is: 431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.40 : 720.91 = 312.58 : x
  2. Step 2: Convert to fraction form
    522.40/720.91 = 312.58/x
  3. Step 3: Cross multiply
    522.40x = 720.91 × 312.58
  4. Step 4: Simplify right side
    522.40x = 225,344.75
  5. Step 5: Solve for x
    x = 225,344.75/522.40
  6. Step 6: Final answer
    x = 431.37

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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.