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Finding the Fourth Proportional to 492.64, 738.27 and 389.47

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Solution

The fourth proportional to 492.64, 738.27 and 389.47 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.64 : 738.27 = 389.47 : x
  2. Step 2: Convert to fraction form
    492.64/738.27 = 389.47/x
  3. Step 3: Cross multiply
    492.64x = 738.27 × 389.47
  4. Step 4: Simplify right side
    492.64x = 287,534.02
  5. Step 5: Solve for x
    x = 287,534.02/492.64
  6. Step 6: Final answer
    x = 583.66

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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.