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Finding the Fourth Proportional to 589.46, 812.69 and 392.82

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Solution

The fourth proportional to 589.46, 812.69 and 392.82 is: 541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 812.69 = 392.82 : x
  2. Step 2: Convert to fraction form
    589.46/812.69 = 392.82/x
  3. Step 3: Cross multiply
    589.46x = 812.69 × 392.82
  4. Step 4: Simplify right side
    589.46x = 319,240.89
  5. Step 5: Solve for x
    x = 319,240.89/589.46
  6. Step 6: Final answer
    x = 541.58

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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.