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Finding the Fourth Proportional to 572.76, 790.42 and 324

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Solution

The fourth proportional to 572.76, 790.42 and 324 is: 447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.76 : 790.42 = 324 : x
  2. Step 2: Convert to fraction form
    572.76/790.42 = 324/x
  3. Step 3: Cross multiply
    572.76x = 790.42 × 324
  4. Step 4: Simplify right side
    572.76x = 256,096.08
  5. Step 5: Solve for x
    x = 256,096.08/572.76
  6. Step 6: Final answer
    x = 447.13

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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.