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Finding the Fourth Proportional to 472.36, 703.67 and 458.03

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Solution

The fourth proportional to 472.36, 703.67 and 458.03 is: 682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 703.67 = 458.03 : x
  2. Step 2: Convert to fraction form
    472.36/703.67 = 458.03/x
  3. Step 3: Cross multiply
    472.36x = 703.67 × 458.03
  4. Step 4: Simplify right side
    472.36x = 322,301.97
  5. Step 5: Solve for x
    x = 322,301.97/472.36
  6. Step 6: Final answer
    x = 682.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.