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Finding the Fourth Proportional to 510.47, 703.13 and 399.75

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Solution

The fourth proportional to 510.47, 703.13 and 399.75 is: 550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.47 : 703.13 = 399.75 : x
  2. Step 2: Convert to fraction form
    510.47/703.13 = 399.75/x
  3. Step 3: Cross multiply
    510.47x = 703.13 × 399.75
  4. Step 4: Simplify right side
    510.47x = 281,076.22
  5. Step 5: Solve for x
    x = 281,076.22/510.47
  6. Step 6: Final answer
    x = 550.62

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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.