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Finding the Fourth Proportional to 522.32, 720.74 and 312.47

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Solution

The fourth proportional to 522.32, 720.74 and 312.47 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 720.74 = 312.47 : x
  2. Step 2: Convert to fraction form
    522.32/720.74 = 312.47/x
  3. Step 3: Cross multiply
    522.32x = 720.74 × 312.47
  4. Step 4: Simplify right side
    522.32x = 225,208.61
  5. Step 5: Solve for x
    x = 225,208.61/522.32
  6. Step 6: Final answer
    x = 431.17

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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.