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Finding the Fourth Proportional to 612.72, 845.37 and 534.83

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Solution

The fourth proportional to 612.72, 845.37 and 534.83 is: 737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.72 : 845.37 = 534.83 : x
  2. Step 2: Convert to fraction form
    612.72/845.37 = 534.83/x
  3. Step 3: Cross multiply
    612.72x = 845.37 × 534.83
  4. Step 4: Simplify right side
    612.72x = 452,125.01
  5. Step 5: Solve for x
    x = 452,125.01/612.72
  6. Step 6: Final answer
    x = 737.90

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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.