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Finding the Fourth Proportional to 679.49, 937.37 and 458.51

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Solution

The fourth proportional to 679.49, 937.37 and 458.51 is: 632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.49 : 937.37 = 458.51 : x
  2. Step 2: Convert to fraction form
    679.49/937.37 = 458.51/x
  3. Step 3: Cross multiply
    679.49x = 937.37 × 458.51
  4. Step 4: Simplify right side
    679.49x = 429,795.25
  5. Step 5: Solve for x
    x = 429,795.25/679.49
  6. Step 6: Final answer
    x = 632.53

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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.