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Finding the Fourth Proportional to 458.37, 690.09 and 315.03

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Solution

The fourth proportional to 458.37, 690.09 and 315.03 is: 474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.37 : 690.09 = 315.03 : x
  2. Step 2: Convert to fraction form
    458.37/690.09 = 315.03/x
  3. Step 3: Cross multiply
    458.37x = 690.09 × 315.03
  4. Step 4: Simplify right side
    458.37x = 217,399.05
  5. Step 5: Solve for x
    x = 217,399.05/458.37
  6. Step 6: Final answer
    x = 474.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.