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Finding the Fourth Proportional to 492.16, 734.72 and 459.52

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Solution

The fourth proportional to 492.16, 734.72 and 459.52 is: 685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.16 : 734.72 = 459.52 : x
  2. Step 2: Convert to fraction form
    492.16/734.72 = 459.52/x
  3. Step 3: Cross multiply
    492.16x = 734.72 × 459.52
  4. Step 4: Simplify right side
    492.16x = 337,618.53
  5. Step 5: Solve for x
    x = 337,618.53/492.16
  6. Step 6: Final answer
    x = 685.99

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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.