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Finding the Fourth Proportional to 510.28, 702.87 and 399.56

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Solution

The fourth proportional to 510.28, 702.87 and 399.56 is: 550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.28 : 702.87 = 399.56 : x
  2. Step 2: Convert to fraction form
    510.28/702.87 = 399.56/x
  3. Step 3: Cross multiply
    510.28x = 702.87 × 399.56
  4. Step 4: Simplify right side
    510.28x = 280,837.98
  5. Step 5: Solve for x
    x = 280,837.98/510.28
  6. Step 6: Final answer
    x = 550.36

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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.