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Finding the Fourth Proportional to 510.11, 703.88 and 289.03

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Solution

The fourth proportional to 510.11, 703.88 and 289.03 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.11 : 703.88 = 289.03 : x
  2. Step 2: Convert to fraction form
    510.11/703.88 = 289.03/x
  3. Step 3: Cross multiply
    510.11x = 703.88 × 289.03
  4. Step 4: Simplify right side
    510.11x = 203,442.44
  5. Step 5: Solve for x
    x = 203,442.44/510.11
  6. Step 6: Final answer
    x = 398.82

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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.