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Finding the Fourth Proportional to 945.50, 1,303.97 and 613.80

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Solution

The fourth proportional to 945.50, 1,303.97 and 613.80 is: 846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 1,303.97 = 613.80 : x
  2. Step 2: Convert to fraction form
    945.50/1,303.97 = 613.80/x
  3. Step 3: Cross multiply
    945.50x = 1,303.97 × 613.80
  4. Step 4: Simplify right side
    945.50x = 800,373.72
  5. Step 5: Solve for x
    x = 800,373.72/945.50
  6. Step 6: Final answer
    x = 846.51

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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.