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Finding the Fourth Proportional to 734.16, 1,099.62 and 719.40

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Solution

The fourth proportional to 734.16, 1,099.62 and 719.40 is: 1,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.16 : 1,099.62 = 719.40 : x
  2. Step 2: Convert to fraction form
    734.16/1,099.62 = 719.40/x
  3. Step 3: Cross multiply
    734.16x = 1,099.62 × 719.40
  4. Step 4: Simplify right side
    734.16x = 791,066.63
  5. Step 5: Solve for x
    x = 791,066.63/734.16
  6. Step 6: Final answer
    x = 1,077.51

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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.