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Finding the Fourth Proportional to 797.02, 1,099.51 and 517.35

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Solution

The fourth proportional to 797.02, 1,099.51 and 517.35 is: 713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.02 : 1,099.51 = 517.35 : x
  2. Step 2: Convert to fraction form
    797.02/1,099.51 = 517.35/x
  3. Step 3: Cross multiply
    797.02x = 1,099.51 × 517.35
  4. Step 4: Simplify right side
    797.02x = 568,831.50
  5. Step 5: Solve for x
    x = 568,831.50/797.02
  6. Step 6: Final answer
    x = 713.70

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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.