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Finding the Fourth Proportional to 945.79, 1,412.30 and 772.79

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Solution

The fourth proportional to 945.79, 1,412.30 and 772.79 is: 1,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.79 : 1,412.30 = 772.79 : x
  2. Step 2: Convert to fraction form
    945.79/1,412.30 = 772.79/x
  3. Step 3: Cross multiply
    945.79x = 1,412.30 × 772.79
  4. Step 4: Simplify right side
    945.79x = 1,091,406.19
  5. Step 5: Solve for x
    x = 1,091,406.19/945.79
  6. Step 6: Final answer
    x = 1,153.97

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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.