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Finding the Fourth Proportional to 438.18, 653.84 and 392

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Solution

The fourth proportional to 438.18, 653.84 and 392 is: 584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.18 : 653.84 = 392 : x
  2. Step 2: Convert to fraction form
    438.18/653.84 = 392/x
  3. Step 3: Cross multiply
    438.18x = 653.84 × 392
  4. Step 4: Simplify right side
    438.18x = 256,305.28
  5. Step 5: Solve for x
    x = 256,305.28/438.18
  6. Step 6: Final answer
    x = 584.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.