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Finding the Fourth Proportional to 612.74, 919.24 and 497.92

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Solution

The fourth proportional to 612.74, 919.24 and 497.92 is: 746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.74 : 919.24 = 497.92 : x
  2. Step 2: Convert to fraction form
    612.74/919.24 = 497.92/x
  3. Step 3: Cross multiply
    612.74x = 919.24 × 497.92
  4. Step 4: Simplify right side
    612.74x = 457,707.98
  5. Step 5: Solve for x
    x = 457,707.98/612.74
  6. Step 6: Final answer
    x = 746.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.