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Finding the Fourth Proportional to 431.35, 649.35 and 393.07

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Solution

The fourth proportional to 431.35, 649.35 and 393.07 is: 591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.35 : 649.35 = 393.07 : x
  2. Step 2: Convert to fraction form
    431.35/649.35 = 393.07/x
  3. Step 3: Cross multiply
    431.35x = 649.35 × 393.07
  4. Step 4: Simplify right side
    431.35x = 255,240.00
  5. Step 5: Solve for x
    x = 255,240.00/431.35
  6. Step 6: Final answer
    x = 591.72

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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.