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Finding the Fourth Proportional to 1,032.97, 1,424.87 and 613.05

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Solution

The fourth proportional to 1,032.97, 1,424.87 and 613.05 is: 845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.97 : 1,424.87 = 613.05 : x
  2. Step 2: Convert to fraction form
    1,032.97/1,424.87 = 613.05/x
  3. Step 3: Cross multiply
    1,032.97x = 1,424.87 × 613.05
  4. Step 4: Simplify right side
    1,032.97x = 873,510.96
  5. Step 5: Solve for x
    x = 873,510.96/1,032.97
  6. Step 6: Final answer
    x = 845.63

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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.