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Finding the Fourth Proportional to 612.52, 845.61 and 472.33

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Solution

The fourth proportional to 612.52, 845.61 and 472.33 is: 652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.52 : 845.61 = 472.33 : x
  2. Step 2: Convert to fraction form
    612.52/845.61 = 472.33/x
  3. Step 3: Cross multiply
    612.52x = 845.61 × 472.33
  4. Step 4: Simplify right side
    612.52x = 399,406.97
  5. Step 5: Solve for x
    x = 399,406.97/612.52
  6. Step 6: Final answer
    x = 652.07

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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.