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Finding the Fourth Proportional to 757.26, 1,045.71 and 570.43

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Solution

The fourth proportional to 757.26, 1,045.71 and 570.43 is: 787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.26 : 1,045.71 = 570.43 : x
  2. Step 2: Convert to fraction form
    757.26/1,045.71 = 570.43/x
  3. Step 3: Cross multiply
    757.26x = 1,045.71 × 570.43
  4. Step 4: Simplify right side
    757.26x = 596,504.36
  5. Step 5: Solve for x
    x = 596,504.36/757.26
  6. Step 6: Final answer
    x = 787.71

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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.