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Finding the Fourth Proportional to 458.20, 690.04 and 415.36

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Solution

The fourth proportional to 458.20, 690.04 and 415.36 is: 625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.20 : 690.04 = 415.36 : x
  2. Step 2: Convert to fraction form
    458.20/690.04 = 415.36/x
  3. Step 3: Cross multiply
    458.20x = 690.04 × 415.36
  4. Step 4: Simplify right side
    458.20x = 286,615.01
  5. Step 5: Solve for x
    x = 286,615.01/458.20
  6. Step 6: Final answer
    x = 625.52

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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.