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Finding the Fourth Proportional to 522.27, 720.46 and 312.38

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Solution

The fourth proportional to 522.27, 720.46 and 312.38 is: 430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 720.46 = 312.38 : x
  2. Step 2: Convert to fraction form
    522.27/720.46 = 312.38/x
  3. Step 3: Cross multiply
    522.27x = 720.46 × 312.38
  4. Step 4: Simplify right side
    522.27x = 225,056.78
  5. Step 5: Solve for x
    x = 225,056.78/522.27
  6. Step 6: Final answer
    x = 430.92

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1.5x scale

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.