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Finding the Fourth Proportional to 796.17, 1,099.64 and 530.15

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Solution

The fourth proportional to 796.17, 1,099.64 and 530.15 is: 732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.17 : 1,099.64 = 530.15 : x
  2. Step 2: Convert to fraction form
    796.17/1,099.64 = 530.15/x
  3. Step 3: Cross multiply
    796.17x = 1,099.64 × 530.15
  4. Step 4: Simplify right side
    796.17x = 582,978.22
  5. Step 5: Solve for x
    x = 582,978.22/796.17
  6. Step 6: Final answer
    x = 732.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.