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Finding the Fourth Proportional to 945.26, 1,307.79 and 829.10

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Solution

The fourth proportional to 945.26, 1,307.79 and 829.10 is: 1,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.26 : 1,307.79 = 829.10 : x
  2. Step 2: Convert to fraction form
    945.26/1,307.79 = 829.10/x
  3. Step 3: Cross multiply
    945.26x = 1,307.79 × 829.10
  4. Step 4: Simplify right side
    945.26x = 1,084,288.69
  5. Step 5: Solve for x
    x = 1,084,288.69/945.26
  6. Step 6: Final answer
    x = 1,147.08

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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.