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Finding the Fourth Proportional to 1,239.56, 1,710 and 797.24

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Solution

The fourth proportional to 1,239.56, 1,710 and 797.24 is: 1,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.56 : 1,710 = 797.24 : x
  2. Step 2: Convert to fraction form
    1,239.56/1,710 = 797.24/x
  3. Step 3: Cross multiply
    1,239.56x = 1,710 × 797.24
  4. Step 4: Simplify right side
    1,239.56x = 1,363,280.40
  5. Step 5: Solve for x
    x = 1,363,280.40/1,239.56
  6. Step 6: Final answer
    x = 1,099.81

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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.