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Finding the Fourth Proportional to 771.25, 1,063.07 and 602.90

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Solution

The fourth proportional to 771.25, 1,063.07 and 602.90 is: 831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.25 : 1,063.07 = 602.90 : x
  2. Step 2: Convert to fraction form
    771.25/1,063.07 = 602.90/x
  3. Step 3: Cross multiply
    771.25x = 1,063.07 × 602.90
  4. Step 4: Simplify right side
    771.25x = 640,921.89
  5. Step 5: Solve for x
    x = 640,921.89/771.25
  6. Step 6: Final answer
    x = 831.02

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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.