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Finding the Fourth Proportional to 797.07, 1,100.19 and 517.32

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Solution

The fourth proportional to 797.07, 1,100.19 and 517.32 is: 714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.07 : 1,100.19 = 517.32 : x
  2. Step 2: Convert to fraction form
    797.07/1,100.19 = 517.32/x
  3. Step 3: Cross multiply
    797.07x = 1,100.19 × 517.32
  4. Step 4: Simplify right side
    797.07x = 569,150.29
  5. Step 5: Solve for x
    x = 569,150.29/797.07
  6. Step 6: Final answer
    x = 714.05

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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.