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Finding the Fourth Proportional to 612.54, 918.16 and 334.61

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Solution

The fourth proportional to 612.54, 918.16 and 334.61 is: 501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.54 : 918.16 = 334.61 : x
  2. Step 2: Convert to fraction form
    612.54/918.16 = 334.61/x
  3. Step 3: Cross multiply
    612.54x = 918.16 × 334.61
  4. Step 4: Simplify right side
    612.54x = 307,225.52
  5. Step 5: Solve for x
    x = 307,225.52/612.54
  6. Step 6: Final answer
    x = 501.56

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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.