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Finding the Fourth Proportional to 945.80, 1,304.07 and 835.10

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Solution

The fourth proportional to 945.80, 1,304.07 and 835.10 is: 1,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.80 : 1,304.07 = 835.10 : x
  2. Step 2: Convert to fraction form
    945.80/1,304.07 = 835.10/x
  3. Step 3: Cross multiply
    945.80x = 1,304.07 × 835.10
  4. Step 4: Simplify right side
    945.80x = 1,089,028.86
  5. Step 5: Solve for x
    x = 1,089,028.86/945.80
  6. Step 6: Final answer
    x = 1,151.44

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Double scale
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1.5x scale

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.