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Finding the Fourth Proportional to 734.17, 1,099.20 and 459.58

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Solution

The fourth proportional to 734.17, 1,099.20 and 459.58 is: 688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.17 : 1,099.20 = 459.58 : x
  2. Step 2: Convert to fraction form
    734.17/1,099.20 = 459.58/x
  3. Step 3: Cross multiply
    734.17x = 1,099.20 × 459.58
  4. Step 4: Simplify right side
    734.17x = 505,170.34
  5. Step 5: Solve for x
    x = 505,170.34/734.17
  6. Step 6: Final answer
    x = 688.08

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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.