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Finding the Fourth Proportional to 429.45, 587.93 and 418.51

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Solution

The fourth proportional to 429.45, 587.93 and 418.51 is: 572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.45 : 587.93 = 418.51 : x
  2. Step 2: Convert to fraction form
    429.45/587.93 = 418.51/x
  3. Step 3: Cross multiply
    429.45x = 587.93 × 418.51
  4. Step 4: Simplify right side
    429.45x = 246,053.23
  5. Step 5: Solve for x
    x = 246,053.23/429.45
  6. Step 6: Final answer
    x = 572.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.