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Finding the Fourth Proportional to 612.50, 843.94 and 415.66

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Solution

The fourth proportional to 612.50, 843.94 and 415.66 is: 572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.50 : 843.94 = 415.66 : x
  2. Step 2: Convert to fraction form
    612.50/843.94 = 415.66/x
  3. Step 3: Cross multiply
    612.50x = 843.94 × 415.66
  4. Step 4: Simplify right side
    612.50x = 350,792.10
  5. Step 5: Solve for x
    x = 350,792.10/612.50
  6. Step 6: Final answer
    x = 572.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.