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Finding the Fourth Proportional to 492.12, 734.40 and 437.40

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Solution

The fourth proportional to 492.12, 734.40 and 437.40 is: 652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.12 : 734.40 = 437.40 : x
  2. Step 2: Convert to fraction form
    492.12/734.40 = 437.40/x
  3. Step 3: Cross multiply
    492.12x = 734.40 × 437.40
  4. Step 4: Simplify right side
    492.12x = 321,226.56
  5. Step 5: Solve for x
    x = 321,226.56/492.12
  6. Step 6: Final answer
    x = 652.74

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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.