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Finding the Fourth Proportional to 431.22, 649.16 and 392.94

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Solution

The fourth proportional to 431.22, 649.16 and 392.94 is: 591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.22 : 649.16 = 392.94 : x
  2. Step 2: Convert to fraction form
    431.22/649.16 = 392.94/x
  3. Step 3: Cross multiply
    431.22x = 649.16 × 392.94
  4. Step 4: Simplify right side
    431.22x = 255,080.93
  5. Step 5: Solve for x
    x = 255,080.93/431.22
  6. Step 6: Final answer
    x = 591.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.