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Finding the Fourth Proportional to 510.23, 703.82 and 352.91

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Solution

The fourth proportional to 510.23, 703.82 and 352.91 is: 486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.23 : 703.82 = 352.91 : x
  2. Step 2: Convert to fraction form
    510.23/703.82 = 352.91/x
  3. Step 3: Cross multiply
    510.23x = 703.82 × 352.91
  4. Step 4: Simplify right side
    510.23x = 248,383.35
  5. Step 5: Solve for x
    x = 248,383.35/510.23
  6. Step 6: Final answer
    x = 486.81

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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.