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Finding the Fourth Proportional to 492.32, 734.88 and 433.94

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Solution

The fourth proportional to 492.32, 734.88 and 433.94 is: 647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.32 : 734.88 = 433.94 : x
  2. Step 2: Convert to fraction form
    492.32/734.88 = 433.94/x
  3. Step 3: Cross multiply
    492.32x = 734.88 × 433.94
  4. Step 4: Simplify right side
    492.32x = 318,895.61
  5. Step 5: Solve for x
    x = 318,895.61/492.32
  6. Step 6: Final answer
    x = 647.74

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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.