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Finding the Fourth Proportional to 458.19, 689.67 and 415.80

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Solution

The fourth proportional to 458.19, 689.67 and 415.80 is: 625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.19 : 689.67 = 415.80 : x
  2. Step 2: Convert to fraction form
    458.19/689.67 = 415.80/x
  3. Step 3: Cross multiply
    458.19x = 689.67 × 415.80
  4. Step 4: Simplify right side
    458.19x = 286,764.79
  5. Step 5: Solve for x
    x = 286,764.79/458.19
  6. Step 6: Final answer
    x = 625.86

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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.