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Finding the Fourth Proportional to 612.92, 919.71 and 476.24

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Solution

The fourth proportional to 612.92, 919.71 and 476.24 is: 714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.92 : 919.71 = 476.24 : x
  2. Step 2: Convert to fraction form
    612.92/919.71 = 476.24/x
  3. Step 3: Cross multiply
    612.92x = 919.71 × 476.24
  4. Step 4: Simplify right side
    612.92x = 438,002.69
  5. Step 5: Solve for x
    x = 438,002.69/612.92
  6. Step 6: Final answer
    x = 714.62

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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.