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Finding the Fourth Proportional to 510.41, 703.05 and 399.68

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Solution

The fourth proportional to 510.41, 703.05 and 399.68 is: 550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.41 : 703.05 = 399.68 : x
  2. Step 2: Convert to fraction form
    510.41/703.05 = 399.68/x
  3. Step 3: Cross multiply
    510.41x = 703.05 × 399.68
  4. Step 4: Simplify right side
    510.41x = 280,995.28
  5. Step 5: Solve for x
    x = 280,995.28/510.41
  6. Step 6: Final answer
    x = 550.53

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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.