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Finding the Fourth Proportional to 797.10, 1,196.01 and 431.82

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Solution

The fourth proportional to 797.10, 1,196.01 and 431.82 is: 647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.10 : 1,196.01 = 431.82 : x
  2. Step 2: Convert to fraction form
    797.10/1,196.01 = 431.82/x
  3. Step 3: Cross multiply
    797.10x = 1,196.01 × 431.82
  4. Step 4: Simplify right side
    797.10x = 516,461.04
  5. Step 5: Solve for x
    x = 516,461.04/797.10
  6. Step 6: Final answer
    x = 647.93

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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.