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Finding the Fourth Proportional to 510.21, 703.62 and 335.25

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Solution

The fourth proportional to 510.21, 703.62 and 335.25 is: 462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.21 : 703.62 = 335.25 : x
  2. Step 2: Convert to fraction form
    510.21/703.62 = 335.25/x
  3. Step 3: Cross multiply
    510.21x = 703.62 × 335.25
  4. Step 4: Simplify right side
    510.21x = 235,888.61
  5. Step 5: Solve for x
    x = 235,888.61/510.21
  6. Step 6: Final answer
    x = 462.34

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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.