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Finding the Fourth Proportional to 945.23, 1,411.46 and 772.23

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Solution

The fourth proportional to 945.23, 1,411.46 and 772.23 is: 1,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.23 : 1,411.46 = 772.23 : x
  2. Step 2: Convert to fraction form
    945.23/1,411.46 = 772.23/x
  3. Step 3: Cross multiply
    945.23x = 1,411.46 × 772.23
  4. Step 4: Simplify right side
    945.23x = 1,089,973.69
  5. Step 5: Solve for x
    x = 1,089,973.69/945.23
  6. Step 6: Final answer
    x = 1,153.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.