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Finding the Fourth Proportional to 510.22, 703.48 and 431.39

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Solution

The fourth proportional to 510.22, 703.48 and 431.39 is: 594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.22 : 703.48 = 431.39 : x
  2. Step 2: Convert to fraction form
    510.22/703.48 = 431.39/x
  3. Step 3: Cross multiply
    510.22x = 703.48 × 431.39
  4. Step 4: Simplify right side
    510.22x = 303,474.92
  5. Step 5: Solve for x
    x = 303,474.92/510.22
  6. Step 6: Final answer
    x = 594.80

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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.