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Finding the Fourth Proportional to 679.49, 936.25 and 458.06

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Solution

The fourth proportional to 679.49, 936.25 and 458.06 is: 631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.49 : 936.25 = 458.06 : x
  2. Step 2: Convert to fraction form
    679.49/936.25 = 458.06/x
  3. Step 3: Cross multiply
    679.49x = 936.25 × 458.06
  4. Step 4: Simplify right side
    679.49x = 428,852.85
  5. Step 5: Solve for x
    x = 428,852.85/679.49
  6. Step 6: Final answer
    x = 631.14

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1.5x scale

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.