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Finding the Fourth Proportional to 612.72, 923.40 and 576.24

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Solution

The fourth proportional to 612.72, 923.40 and 576.24 is: 868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.72 : 923.40 = 576.24 : x
  2. Step 2: Convert to fraction form
    612.72/923.40 = 576.24/x
  3. Step 3: Cross multiply
    612.72x = 923.40 × 576.24
  4. Step 4: Simplify right side
    612.72x = 532,100.02
  5. Step 5: Solve for x
    x = 532,100.02/612.72
  6. Step 6: Final answer
    x = 868.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.